Many years ago, I bought a .308 rifle from a guy who had gotten it in trade. He had never fired it. It was a Gewahr Mauser re-tooled and stamped 7.62 on the barrel. He assumed, and informed me (a VERY new and inexperienced hunter) that it was a .308. Great rifle and slightly better than my .303Br. Price was right and I thought I needed it. Took it out and fired a few rounds, cases looked funny. Took it back to him, with the fired cases. He told me that he had been mistaken and it was a .30-06 and that he shold have charged me more for it. ;-)
That put me into the .30-06 world instead of the .308. I now have several of each and, although I like the .308 as a back-up, it is the '06 that gets carried on every hunt (except varmints). That being said, my sister-in-law takes an Ontario moose every year with her .308, while her husband uses a .308 NM.
I'd recommend the .308 due to cheap surplus that you can mexican match for even more savings.