No meaningful advantage of any one of those three cartridges over the others, so take the rifle that you like the best.

I hunt elk with a pair of 270s, a CLR to use on overwatch and a Remington 760 to use in the timber. I could use the same two rifles in 30-06, but I chose to use them in 270. The 270 worked well for JOC and the improvements in bullet design and manufacturing has made even better than it ever was in his prime.