One of the things about red oak that bothers me a little is the porosity. I have taken a piece of 3/4" square stock, about 10" long, and stuck one end down in a glass of water, then blown into the dry end - bubbles will appear in the water. Can't do that with most other oaks.
Dry live oak might be an interesting stock. Most has some pretty nice grain in it. Heavy, tho, so you may want to use it for an over-the-log rifle.