I have a chance, although small, to buy a Mauser in 8x57 (second in line.) My intent would be to rebarrel to .284 Winchester or rechamber and rebore or rebarrel to a 9.3x62. Is this easily done with this action? I also realize the .284 has a larger in diameter case and the rim size of the 9.3 is slightly smaller.
Assuming this is to be a hunting rifle. Just one man's biased opinion, but walking away from an 8 x 57 loaded to CIP specs toward the .284 Win ? Not me, for many reasons, but one which you mentioned, feeding CAN be problematic, and if you are not doing the work yourself...problems=time=money. Don't worry about the rim size as spec'ed in drawings on the 9.3, measurement of modern production of 9.3 brass will be very close to .473". Be sure you want or need a 9.3, I am 210#, 6 ft tall, and I may be a wimp, but I do not enjoy shooting mine in full power hunting loads. Offhand, yes....off the bench...hang on. I am one of the pitiful few, the brave, that have no criticism of the 8 x 57 as a hunting cartridge...PROPERLY LOADED to it's potential.