Hornady books have 7x57 loads for modern rifles.
You can also use any 7mm08 load as a starting point as the 7x57 case has more capacity.
2800 with a 140 TSX is no problem.
With that short barrel I'd move toward medium fast burners and get a chronograph.
H380, BL-C and Varget will all get you there. Suggest CCI 250 (magnum) primers. look at the Hodgdon page for 7mm08.
Congrats on the best 7mm.
