a "sissy pad"? You know, a 1/2 inch or so thick protective cushion that straps on your shooting shoulder. Mine is made by Allen.
I wear it at the range, because I practice during the summer and early fall, when I am usually wearing only a thin shirt (warm weather).
I am shooting a Win Mod 70 Classic Featherweight chambered in 270 WSM.
During hunting season, my hunting clothing has enough layers (cold weather) that I don't need the pad to absorb the recoil. Also, as someone already said, the adrenaline related to shooting at game makes recoil pretty well unnoticed.
Try it - it might work for you- AND it is a whole lot cheaper than a new rifle and scope. Of course, maybe you just want a new rifle and scope.