Re: 208 amax
If you have more 208's on the shelf, try H4831sc or RL22. I'm getting excellent speed from RL22 with the 208's out of my 30-06, your 300 WSM has about 12% more case capacity and a shorter case, so the usual equivalent barrel lenth will net you a reasonable jump in speeds.
The 190 Bergers are great bullets too, don't give up on the 208's though.