The 30-06 and the .308, in factory loadings, are virtually ballistic twins. If you're thinking of rolling your own ammo, I'd say the '06 has a slight edge in versatility, provided your rifle has the 1:10" twist to handle the heavier bullets.
Inside of about 500 yards, I doubt that you'd see any significant difference in performance between the '06 and the .308. In a well-tweaked bolt-action rifle with an experienced shooter behind it, the .308 should have a slight edge in consistency; in a 7600, I don't think that's likely to be a factor.
In many areas of the US, .30-06 ammo used to be a little easier to find; any rural general store could even be counted on to have a few boxes of 150 and/or 180 grain softpoints. These days, I'm not so sure that the .308 has any real disadvantage in that regard.
Another factor might be worth considering. At least in my area of South Florida--which in some ways is rather like NJ, but with palm trees, Burmese pythons, and hurricanes--.30-06 ammo was plentiful during the Panic of '08, while .308, if it even got as far as the store shelves, disappeared immediately thereafter. (Ditto for .223, 7.62x39, 9x19, .380 (!), and .45ACP, though you're not really asking about those.) I'd expect the same sort of thing to happen during the likely Panic of '12; maybe even more so. If you go with the .308, I'd suggest taking that into account and planning accordingly.