Beerorkid speaks wisely when he mentions 9 South. That’s good stuff. Even great places like The Oven and Blue Orchid come pretty close to the $8 to $12 range for many (but not all of) of their entrees.
Basically, you’ve got lots of options in that price range. If your dining companion knows the cost-per-person target, you’ll have an even easier time. If cost is really a big deal I recommend picking a couple possible restaurants and checking out their menus. Look at the prices of the items you and your companion are likely to order. If they average out ok, you’re set.