Close your eyes and grab one! Any of these 3 will do the job well!None of the game you shoot will evertell the difference! The '06 and '08 are really close ballistically until you go with 180 gr. and heavier bullets, then the '06 will start to be a better choice. The .270 will shoot a little flatter but, no more accurately than the '06 or the '08.
In fact, the.308 Win. is a short action cartridge and it's accuracy is legendary!
As I said, just pick one, you can't go wrong!
BTW, my choice is the .308 Winchester!