Worked up a couple ladder charts on quickload. 200gr bullet at 2300 fps looks feasible at 40K lbs-psi.

Code
Cartridge          : .35 Rem.
Bullet             : .358, 200, Hornady SP 3515
Cartridge O.A.L. L6: 2.525 inch or 64.14 mm
Barrel Length      : 20.0 inch or 508.0 mm
Powder             : Accurate No.2520

Predicted data by increasing and decreasing the given charge,
incremented in steps of 1.136% of nominal charge.
CAUTION: Figures exceed maximum and minimum recommended loads !

Step    Fill. Charge   Vel.  Energy   Pmax   Pmuz  Prop.Burnt B_Time
 %       %    Grains   fps   ft.lbs    psi    psi      %        ms

-11.4   90    39.00   1993    1763   26555   5387     83.9    1.361
-10.2   91    39.50   2021    1814   27564   5486     84.7    1.340
-09.1   93    40.00   2050    1866   28616   5583     85.5    1.319
-08.0   94    40.50   2079    1919   29716   5679     86.3    1.298
-06.8   95    41.00   2108    1973   30866   5774     87.1    1.278
-05.7   96    41.50   2137    2028   32070   5867     87.8    1.258
-04.5   97    42.00   2166    2084   33329   5958     88.5    1.238
-03.4   98    42.50   2195    2141   34646   6048     89.3    1.218
-02.3   99    43.00   2225    2198   36026   6135     89.9    1.199
-01.1  101    43.50   2255    2257   37473   6220     90.6    1.180
+00.0  102    44.00   2284    2317   38988   6303     91.3    1.159
+01.1  103    44.50   2314    2378   40580   6384     91.9    1.138
+02.3  104    45.00   2344    2440   42232   6462     92.5    1.118
+03.4  105    45.50   2374    2503   44005   6537     93.1    1.098
+04.5  106    46.00   2404    2567   45851   6610     93.7    1.079
+05.7  108    46.50   2435    2632   47792   6680     94.2    1.059


Code
Cartridge          : .35 Rem.
Bullet             : .358, 200, Hornady SP 3515
Cartridge O.A.L. L6: 2.525 inch or 64.14 mm
Barrel Length      : 20.0 inch or 508.0 mm
Powder             : Winchester 748

Predicted data by increasing and decreasing the given charge,
incremented in steps of 1.163% of nominal charge.
CAUTION: Figures exceed maximum and minimum recommended loads !

Step    Fill. Charge   Vel.  Energy   Pmax   Pmuz  Prop.Burnt B_Time
 %       %    Grains   fps   ft.lbs    psi    psi      %        ms

-11.6   87    38.00   1991    1761   27677   5279     82.1    1.342
-10.5   88    38.50   2019    1811   28684   5381     83.0    1.321
-09.3   89    39.00   2047    1861   29733   5483     83.7    1.301
-08.1   90    39.50   2075    1913   30825   5584     84.5    1.281
-07.0   92    40.00   2104    1965   31955   5684     85.3    1.261
-05.8   93    40.50   2132    2019   33142   5782     86.1    1.242
-04.7   94    41.00   2161    2074   34373   5879     86.8    1.223
-03.5   95    41.50   2190    2129   35655   5974     87.5    1.204
-02.3   96    42.00   2218    2185   36993   6068     88.2    1.185
-01.2   97    42.50   2247    2243   38387   6161     88.9    1.166
+00.0   98    43.00   2276    2301   39841   6251     89.6    1.146
+01.2  100    43.50   2306    2361   41352   6339     90.3    1.127
+02.3  101    44.00   2335    2421   42941   6426     90.9    1.108
+03.5  102    44.50   2364    2482   44599   6510     91.5    1.089
+04.7  103    45.00   2394    2544   46330   6592     92.1    1.071
+05.8  104    45.50   2423    2608   48140   6671     92.7    1.053


The 220gr Speer looks to have potential above 2100 fps. With a BC over .3 it carries the freight quite well.

Code
Cartridge          : .35 Rem.
Bullet             : .358, 220, Speer FP 2439
Cartridge O.A.L. L6: 2.525 inch or 64.14 mm
Barrel Length      : 20.0 inch or 508.0 mm
Powder             : Accurate No.2520

Predicted data by increasing and decreasing the given charge,
incremented in steps of 1.25% of nominal charge.
CAUTION: Figures exceed maximum and minimum recommended loads !

Step    Fill. Charge   Vel.  Energy   Pmax   Pmuz  Prop.Burnt B_Time
 %       %    Grains   fps   ft.lbs    psi    psi      %        ms

-12.5   89    35.00   1826    1629   24972   4822     83.5    1.471
-11.3   90    35.50   1855    1680   25995   4921     84.4    1.446
-10.0   91    36.00   1884    1733   27068   5019     85.2    1.422
-08.8   92    36.50   1913    1787   28190   5115     86.1    1.397
-07.5   94    37.00   1942    1842   29370   5209     86.9    1.374
-06.3   95    37.50   1971    1898   30606   5302     87.7    1.350
-05.0   96    38.00   2000    1955   31905   5394     88.5    1.327
-03.8   97    38.50   2030    2013   33268   5483     89.3    1.304
-02.5   99    39.00   2060    2072   34703   5570     90.0    1.282
-01.3  100    39.50   2089    2133   36212   5655     90.7    1.259
+00.0  101    40.00   2119    2194   37799   5737     91.4    1.237
+01.3  103    40.50   2149    2257   39470   5817     92.1    1.213
+02.5  104    41.00   2180    2321   41234   5894     92.8    1.190
+03.8  105    41.50   2210    2386   43094   5969     93.4    1.167
+05.0  106    42.00   2240    2452   45058   6040     94.0    1.145
+06.3  108    42.50   2271    2519   47134   6108     94.6    1.123


Code
 Tabular trajectory data at Non-Std. Atmosphere
 Gunsite altitude : 4000 ft.
 Air density      : 0.068737 lb./ft�
-------------------------------------------------------------------------------------
 Gun / Ammunition : .35 Rem.
 Bullet           : .358, 220, Speer FP 2439
 Bullet weight    : 220 grains or 14.26 Grams
 Muzzle velocity  : 2149 fps
 Crosswind speed  : 10 Mph 
 Ballistic Coefficient(s) (G1): 
 C1=0.311@V>0 fps;
-------------------------------------------------------------------------------------
 Range  Velo Time of  Energy   Path    Deflection    Total  Sight correction  Target
        city  flight            to    at crosswind    drop   for setting new   lead
                                LOS    of 10.0 Mph             zero range     33 fps
-------------------------------------------------------------------------------------
�Yards   fps     s    ft.lbs.   in.    in.     MOA     in.   Clicks     MOA     yds �
-------------------------------------------------------------------------------------
|    0  2149  0.0000   2256    -2.0    0.0   -----     0.0   ------    -----    0.00
|   25  2092  0.0354   2138    -0.1    0.1    0.37     0.2     +0.7    +0.23    0.39
|   50  2036  0.0717   2025    +1.4    0.3    0.64     1.0     -7.5    -2.58    0.78
|   75  1981  0.1087   1916    +2.3    0.7    0.90     2.2     -8.3    -2.87    1.19
|  100  1926  0.1464   1812    +2.6    1.2    1.14     4.0     -7.3    -2.52    1.60
|  125  1872  0.1856   1712    +2.4    2.0    1.49     6.4     -5.4    -1.85    2.03
|  150  1820  0.2264   1618    +1.6    3.0    1.91     9.4     -2.9    -0.99    2.48
X  175  1769  0.2686   1528     0.0    4.3    2.34    13.1      0.0     0.00    2.94
|  200  1719  0.3122   1443    -2.3    5.8    2.77    17.5     +3.2    +1.08    3.41
|  225  1670  0.3570   1362    -5.3    7.6    3.21    22.7     +6.5    +2.25    3.90
|  250  1622  0.4030   1285    -9.1    9.5    3.63    28.6    +10.1    +3.47    4.41
|  275  1575  0.4501   1212   -13.7   11.7    4.05    35.4    +13.8    +4.76    4.92
|  300  1529  0.4983   1142   -19.1   14.0    4.45    42.9    +17.7    +6.08    5.45