As far as accuracy goes, I have had remarkable success with Remington 165 grain CoreLokt bullets in my .30-06 rifles. Both the factory loads and my reloads (with IMR 4064 powder) using this bullet perform well at the range, although I've not yet used them on hogs or deer.

Hornady 165 grain Spire Points with the flat base do well also, and these performed quite well on both deer and hogs. However, they cost twice what Remington bullets do and in my rifles are not quite as accurate.

These bullets are all worth trying in your .308 as well.