Barnes would be good but you might also want to look or try the Hornaday GMX 165 grain.  Either one should do the job for you if you can get a good group that satisfies you.  Selway Armory seems to have the best prices and not to bad shipping charges.

I've killed a few critters with SST's & like them more than the Barnes type bullets. I've had to track a few critters after making good shots with the Barnes. So far I haven't had to track anything with SST's.
Neither one would be my first choice, but that's mainly due to me a being a reloader.

I think Berger has loaded 300 win mag ammo for sale now.  Sorry if I am mistaken but they would supply quality stuff if pricey.

Look up Berger loaded ammo

ABMammo has 300 win mag hunting rounds by Berger.

I have no experience with 300 win mag or Berger loaded rounds but Berger is leader in quality projectiles.