6.5X57 . . .
Rimmed or rimless . . .
Only you can decide!

OP said between 222 and 308
Not sure if that meant bore or energy

If the latter……9.3x72R

3030 is just so easy to use. driving into town Saturday I saw large group of turkey birds in big field, so Sunday I checked again and there were 37 of them. yes I counted. easing on about 1/2 mile I almost ran over deer trying to cross road. avoided hitting it but boy o boy the deer was white!!!! back of ears and face were normal, the rest white!!!! first I ever saw myself. trail was well used so sat up and watched next day, no deer but bobcat bit the dust. 3030 took head off. NO I wasn't going to shoot deer but learned long ago to take gun into woods. game warden said I could as long as he knew I was going. be well.

I would pick the 270 Winchester. You can find it anywhere, perfect for deer to elk size animals, recoil is a non-issue and cartridge is long enough to easily insert in the chamber underneath a scope.

I had a Hagn built in 223 on a mini action. It was too small for my small hands. Then Martin built me a 30/06 on a medium action. It finished out at 7 pounds. I couldn't be more pleased.

Thanks for the ideas. I am getting this going.