You've already got your ballpark price set down, which is good...
I presume that you're interested in a bolt action? There are several good makes/models out there in 308...The venerable Remington 700 and Savage (several models) are all GREAT rifles. The Remmy is also highly customizable...to the point where you can spend more than the cost of the rifle in upgrades alone.
Of course, there are dozens of offerings in semi-automatic as well... The "AR" platform in .308 is relatively popular and, as you probably know, the AR rifles are probably the most customizable rifles in the world.
Then there are the HK G3/CETME/FAL style rifles...
So, what's your purpose to be? Precision shooting? Hunting? Just fer fun?
(Oh, and don't forget to budget some money for good glass... you can easily surpass your rifle budget on a scope)