A used Savage 99 in .300 or .308, a brand new BLR in .308, a used Win 94 AE in .307 or a Win 88 in .308 are obvious choices if you're looking for .308 Win power levels. A Marlin 336XLR in .30-30 using LeverEvolution ammo would do nicely as well.
Personally, I already have a Win 94 and a Savage 99, and a Marlin 336 and, practical though it is, the BLR just doesn't interest me, probably because I'm not crazy about the styling. So if I were buying, I would buy the new .308 Marlin, the blued/walnut model. About the power of a .300 Savage, maybe a bit more, in a brand new (i.e. not used) rifle with traditional styling, if that matters. So far, there's only one ammo source (Hornady LeverEvolution) but that could change in the next few years. I'm guessing you're not a handloader.
Lots of people are afraid this cartridge won't catch on, but it's getting good reviews, and one way to help guarantee it won't take off is to NOT buy one.
And if you have LOTS of money, you might be able to get someone to sell you a Sako Finnwolf in .308 Winchester. Great rifle, but very pricey these days.