I'd go with 308. You could always load it down to 300 ballistics. Or stoke it up to 308 performance and consider it a 300 Savage +P. My point is that for a new build the 308 gives you more flexibility. However, being the fan of the 99 and 300 that I am, I personally dismiss the 99 in 308 becuase they usually go for a premium, the 300 is a solid performer, and because I don't think the action is really all that well suited to the 308.
Had to fix the spelling