I've shot a 7-30 set up as a carbne and used to own a 260 Encore pistol, I don't think you'd be able to tell the difference in recoil.
My load from a disk program says a 7-30 Waters in a 4 lb firearm shooting a 120 gr bullets gives 15.3 ft lbs of recoil. A 260 rem firing the same weight bullet in the same weight gun gives 19.2 ft lbs. As a comparison a 44 Mag gives 18.1 ft lbs.
Try a 300 Whisper (300-221) if you want a very mild recoiling gun.
Recoil would be 8.4 ft lbs based on the comparison above.