I had a 7TCU in a Rem Model 7 and loved it. It launched a 140 gr SGK at 2400 fps, a good 200 yard game getter with no recoil.
I'm right-handed and have had three shoulder surgeries.
As for light recoil for deer and bear, I'd have to use something in the 6.5 caliber, 260 Rem, 6.5 Creedmoore, 6.5x55, etc. 6.5 mm caliber gives you a better choice of bullet weights vs 6mm/.243 for larger game without a dramatic increase of recoil.
