If you want a factory load go with Federal Premium 180 grain partition. If you want to hand load use Nolser 180 grain partition.
Handload some 165 NPT's To match your Game Kings or what Bob said.
I have been using 180 NPT's for a long time [1980+-] in the '06. I also use a .338 Win Mag with 225's but it isn't needed.
When I used a .308 I used 150's and 165's cup and cores. They worked fine. Only through some study did I determine that the elk that had died from them were victims of miraculous kills.
