At .308 velocities either will work well--but have seen quicker kills (and more than adequate penetration) with 150-grain tipped monolthics (Barnes TTSX and Nosler E-Tip) than heavier bullets, probably due to higher velocity.
Honestly, what more would you really need? 308’s have been my lifelong favorites. Began hunting in 77 with a 308 & have not stopped.