168 TSX if you are a believer. If not, 180 NPT. Either can be driven sufficiently flat out to 300 for an animal that size and both should provide adequate penetration.
Expat
Concur !!!!
Yes! I will be working up a 168 tsx or ttsx for a 308 as soon as the right one comes back into stock. I plan to put a suppressor on it and get a ton of trigger time.
I've done moose with 375 ruger and 338 wm. They worked but I certainly wouldn't call them magic. I am certain I could have done at least as well with a better placed 308 win. Besides, knowing you have (just) a 308, you'll have more fun hunting closer.