The ideas I had were for a different 308 or 44 Mag. 6.8 and 223 were already mentioned though I would say the LWRC is not the only 6.8 option. Lots of makers like Stag are cheaper. The Stag upper I have will do 1.5" groups with Hornady ammo. You might be able to find a bolt action rifle in that caliber also.
At under 100 yards 44 mag has plenty of accuracy. Out of a Marlin 1894 rifle, the recoil is not that bad. Plenty of power to take out hogs. You can also drop down to 44 special.
If you had the money to spend, an AR-10, M1A, or FAL style 308 semi-auto would likely have less recoil than your average bolt action. This is an expensive fix to your problem though.
At under 100 yards 44 mag has plenty of accuracy. Out of a Marlin 1894 rifle, the recoil is not that bad. Plenty of power to take out hogs. You can also drop down to 44 special.
If you had the money to spend, an AR-10, M1A, or FAL style 308 semi-auto would likely have less recoil than your average bolt action. This is an expensive fix to your problem though.