Get yourself a Marlin 336 30-30. Good for Deer and Elk, pretty cheap to shoot as well. It doesn't have a lot of recoil either. If you wanted something flatter shooting then go with a 308 win, Savage,Stevens, Ruger, remington and Howa all make some good bolt rifles with fair prices. I think a Marlin 336 30-30 with some Leverevo ammo would be perfect for your needs though to be honest.