I am puzzled about a .308 having recoil that bothers an adult male. My 30-06 is not uncomfortable for me to shoot. And I have shot it extensively, hunting and competition. I am not a big person. Until I get up to the 220 gr. bullets with max-max loads the recoil is very tolerable. The .308 is less rifle.
If it is to be used for target shooting I believe others on the line should be considered as a courtesty. Get a heavier rifle with a bull barrel and lot more weight.