Might as well jump in here with my opinion which few will agree with.
Modest recoil, capable of taking any game in North America with the exception that I would be a bit nervous against big bears. (but it would work)
Easily available components for loading, and something I have already done.
Remington 700 BDL converted from 270 to 338-06, 22 inch #4 Shilen match barrel and Shilen trigger.
That's my go to for the rest of my life.
That'll work,with,oh say, a 210 or 250 gr NP.
Or split the difference and use a 225 gr NP.
