Scope rings on your eye brow are not pleasant. What you need is a scope with enough eye relief so that recoil won't send the scope into your face.
It's not a recoil problem, it's a scope problem.
Don't worry too much about cartridge. A heavy rifle with a good recoil pad will tame hard shooting rounds and a light rifle with no butt pad will be painful.
Start haunting your local gun shops and look at all the used guns. Find the one that fits best. That's the one to get.