I would try CB's. I had the same question so i brewed up a nice batch of Ballistics gelatin. The first 5 shots were CCI cb shorts. They penetrated about 7-8 inches. Barrel was 22" action was bolt.
#8 shot went 3 inches, .308 JHP blew it apart.
#8 shot went 3 inches, .308 JHP blew it apart.