Pretty much the same recoil as a 35 Whelen, shooting the same weight bullet at the same speed in the same weight rifle,
example-250grn bullet @ 2500fps from an 8 lb rifle = approximately 27-29# of recoil (give or take) depending on stock style.
The 375 H&H with a 270 grn bullet @ 2700 fps in a 9.5 or 10 lb rifle would generate approximately 33-35# of recoil, which is a significant increase.
As a comparison the 30-06 with a 180 grn @ 2700 in the same rifle weight of 8lbs would be 20# and a 300 Win mag shooting a 180grn @ 2900 fps in that same rifle would be 25# of recoil.
The 9.3x62 kicks a little bit more than an 06 or Win Mag, but less than a 375 H&H, but many say it kills like the H&H.
I shoot the 7x57 and 8x57 mausers, and like them very much, a 9.3x62 mauser would complete the family!