Jelly - a 6.5 creedmore will do everything your asking and be lighter recoil than a 270. 6.5 creed is fast becoming a popular sheep cartridge apparently from what I read in outdoor magazines (no first hand experience). I shoot a 270 in a tika t3 lite and it's a little kicker, especially compared to my 35 Remington. You may also look at an AR. Being a semi auto it further reduces felt recoil, especially if you put a good butt pad on it. Or maybe just a regular bolt action with a limb saver recoil reducing pad.