When you say west? How far west?
I don't know how much further west they get, but there are Axis, blackbuck, etc. around Blanco. That's within 3.5 hours.
300-500 acres is going to be quite steep though.
If you're a cash buyer, I have a place I'm selling 45 minutes from Houston that's covered up in deer and hogs for dirt cheap. Lots of stuff wrong with it (flood plain, access, etc), but it's great hunting and fishing.