I'm a Levergun fan..I've owned a couple of 356win. in 94BB,(sold them a few years ago ...(ouch!) I now own a 94BB in 375win. ,444M,a 94 in 30-30 and Marlins in 375win. ,45/70 2 in 35 Rem. and just purchased a 336 in 30-30..
as for the debate between the 356win. and 375win.
With my handloads I can push the 220gr.Speer 358 bullet to 2400 fps the 180gr. Speer to over 2540fps.
The 375 win. bullet useing 375 win brass can push the 220gr Hornaday bullet to 2230fps.and the 200gr. Sierra to the same speed ...So I choose the 220gr. bullet
The 220gr. 358 bullet has better SD than the 220gr. 375 bullet ,but the 375win bullet makes a bigger hole...
But even though I like the 375 win. the 356 win has the edge (at least with my handloads)

And with the right handloads the 35 Rem. is on the heels of the 375 Win.
The 220 gr. Speer bullet loaded in the 35 Rem. bullet is pushed to 2200fps by Buffalo Bore
I've never used 220gr bullets in my 35 Rem. handloads but I can easliy push the 200gr. CL to 2200fps and the 180 gr. Speer to 2400fps. in my 35 Rem.
I know by comparing the 35 Rem. to the 375 Win the 375 has a Larger Dia. bullet but the 358 bullet has a better SD.