Several rifles I'd consider. The Ruger 77 (not "American") Predator looks good. Remington 700 SPS is ok. I'm moving away from heavy varminters as calling rifles.
Cartridge-wise, I'm a .204 fan. For varmints it has the reach of a standard twist .22-250 with the recoil and appetite of a .223. .17 Remington is another favorite.
Wish Remington would bring back the LVSF only add XCR coating to make it even better yet.
Tom