I never have been a fan of the .243 so here are my suggestions
a 30-30 Win. or a .257 Roberts, or a 6.5x55Mauser....all can be loaded up or down
you can also reduce the recoil by having a heavier rifle as opposed to a light one....and you can further reduce the felt recoil on your cheek by adding a 1. soft cheek pad...they are easily made or bought...and 2. a good recoil pad.