I have a .308 myself, my only hunting rifle (other than my muzzleloader). I hunt whitetail but if I ever get the chance for something bigger such as elk, I would look at the Federal Premium line, either Barnes MRX or Nosler Partition, both in 180gr.

As the .308 is considered to not be the optimal cartridge for elk, I would forgo the long range shots (over 200yds).