Agree w JMR
Had a 338/06. 23" bolt. If doing again I'd look at a 20-22" max. And consider a 9.3x62 for a medium bore. Whelen is also proven.
For your purpose I might opt for a fast handling BLR in 358. A Ruger carbine or chopped (20") rifle in 338F or 358 might light your fire.
Not a pump rifle fan though they work.
Nothing a handy 308 or '06 cannot do with quality bullets.
Me, I would be content running a 7/08 or 308 carbine if not BLR.
Thinking T3 20" or WBY S2 in same.
No doubt a 33, 35, or 9.3 can boost confidence. Perhaps more an emotional issue than field outcomes.