Get a weatherby vanguard in .243, the gun is slightly heavier than most, there will be no recoil in the .243 . Use 100 gr hornady btsp. Same gun in 7-08 will be slightly more recoil but not bad at all.
I shoot a vanguard 7-08 with a custom stock on it, its a knox axiom and has a recoil reducing spring internally. it does not kick at all but just slightly jumps off the rest.
But it looks tactical and some people arent in to that.
You can get a .243 in the howa axiom with the same recoil reducing stock.
Heres a pic of mine and a pic of the howa.



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heres the howa in .243