Bow - Gator hunting laws just changed here in Texas for areas outside of the core alligator habitat. If you know any big landowners outside those areas, they might be willing to let you access their lands and help hunt a few. Check out the new rules and maybe you can get lucky.
Duc is right, there are several here in SE TX and more in SW LA that have gator hunts.
If you are looking for trophy gator hunts, you will pay dearly. However, if you just want to stick some toothy lizards, you might be able to visit with someone that is wanting all those bait biters and duck munchers in the 5-6 foot range removed. I think the state allows additional tags for management purposes in that size range. Might save you some cash.