I have two deer rifles, both in .308 Winchester. One is a bolt action, the other lever. I developed good loads for both. So there are my choices.
I had a pump action Browning in .308, never shot. Sold it like a dumbass.
The Creedmoor appeals to long-range paper punchers with some super-high BC bullets. 6mm and 6.5mm are the favorite for most long range shooting these days.
The 7mm with slightly heavier bullets will be preferred by hunters. The 7mm Rem Mag is the "one rifle" of a lot of very successful big game hunters, and the 7mm-.08 while not as fast does deliver the same bullets at a respectable speed.
One advantage of the Creedmoor is that a lot of AR-10 rifles are being chambered for it. So, if you want a semi-auto it might be the obvious choice.