X2 That's exactly my thought as well.Need to go .284 since you are using a shorter barrel the bigger bore will help keep velocity. Plus shooting with a suppressor the tiny bit of extra Recoil won’t matter, and the elk just die better with a bigger bullet.
A quick run of the numbers through QL and a +P 284 with 150's will get you right around 2950.
Nothing against the 7-08, it's a great cartridge they're always very accurate, but the 308 case is rather anemic and even with something like a +P you'd have to step on it pretty hard to get 2900 with even 139's in a 18 inch barrel and IMO a 7-08 would kinda be a waste of a mid or long action.