Unless you're shooting is clearly better with the .338 or the .300, I'd leave them at home. They've already been mentioned as overkill.

I've used a .243 on all but one antelope I've taken and it worked perfectly. So, I'm pretty certain your.243 will do just as well, the.243 WSSM, 7mm-08s, or your .308 would do as well or better. I'd simply pick the one you shoot best.