I have used, (via the grandkids), the 125gr Nosler Ballistic Tip, @2650fps - 20" barrel, on mule deer. Both at under 200 yds. Deer in the freezer without fuss. I loaded them using H4895.
My goal was to give the grandkids a low recoil deer zapper, and I was happy with the results.
Later I turned that load up to 3000fps and a bear and more deer went into the freezer - one was a 250yd shot. Again, that 125gr ballistic tip made pretty mushrooms (or we didn't recover them).
All that was done with a cheap Mossberg kids rifle.
Now the kids only want zap things with unobtaniumridiculouslyexpensive 165gr Nosler Accubonds launched out of a Sig Cross rifle. So I've worked up loads for that gun and the kids & grandkids have put deer, bear and elk in the freezer (longest shot was 360yds).
The 308 is a versatile cartridge. And pre-covid the ammo was cheap.