I'd just buy a 6.5 Creedmoor, 7/08, 260, or 308 and go kill stuff. Even a 270. If you want a custom short action, carbine efficient, perhaps a 338 federal, but if you take many shots at long distance, you will have to dope drop, and hope your bullet expands and hits vitals.

My son dumped his deer in Texas at 300 yds with a 243 w 85gr....

The 338/06 is a hammer, 200 Nosler at 2900+, in my experience it kills deer as good as a 6BR, the latter what I used at 400 yds on my longest Whitetail kill.