Almost anything in the 308 sized case capacity will do fine.
IMO the rifle the cartridge is in is far more important than the cartridge itself.
One needs to have confidence in their shooting when using a rifle , and a 11 pound gun with a 26 " barrel with a big scope on it is cumbersome to work in the tight stuff although it would be fine at 200 yards, regardless if it is in 7STW or 257 Roberts.
However, a 7 or 8 pound, 22" barreled gun with a 4X scope on it will work very well in close quarters and still be fine out to 300 , in the aforementioned cartridges like the 257Bob, 260 whatevers, the smaller 7's, 308win, etc.
Mine is perfectly set up for exactly that with over 30 kills on it, in 303 Brit.
Furthest white tail was just over 370 yards with a heart shot using a 1.5-4X scope
First pic was 175 yards
Second one was at 12 yards
Cat