I have been to Texas a bunch of times to hunt hogs. Each and every time the outfitters had us purchase one of the Non Resident 5 day Special Hunting licenses ($48).
If you have any questions whatsoever, call TXPWD and get the information straight from them. Contrary to what many believe, Texas is not a hunting free-for-all, they take the enforcement of game laws and property boundaries very seriously. The game wardens down there don't play around. Hunting in Texas is big business and thus is enforced strictly.
While a pelican case is an awesome case and just about bullet proof, they tend to be very heavy, often times resulting in some pretty substantial oversize baggage fees. I have always used one of the less expensive Plano cases (the slightly more rigid ones, not the flimsy plastic ones). I pack my rifle, then pack as much of my hunting clothing around the rifle (often times removing foam to make room for clothes). When I am done, the entire rifle is wrapped securely in my hunting gear. I have never had an issue packing things in this manner in spite of the case getting beat up on a couple of trips. Ammunition gets put into my checked bag with the rest of my clothes.
Regarding the ammunition container, the requirement is either the manufacturer's box or a suitable container designed for ammunition. One of the plastic reloading boxes works as well. The big requirement is that all of the rounds must be secured in their own compartment. If the ammunition is free to "roll around" inside the box, you will have trouble with TSA. When I fly, I normally put some foam in the lid of my reloading boxes to keep the rounds secure and from rattling around.
