RE: If you were my Mauser, what kind would you be?
The 7 x 57 round is a superb whitetail round, better than the 7mm/08 in some respects. If your action is of decent manufacture and has good steel you are probably able to handload for that rifle to some very nice middle of the road velocities that will be kind to your shoulder yet pessess excellent hunting effectiveness.
The 7 x 57 is way underrated today, in my opinion. But one of the only ways to extract results above the rather dull factory loads out there is to handload.
I'd relish that gun in my cabinet.