They have a youth section for the draw hunts that i believe are free to apply for. My kids still to young to hunt so I don't have any knowledge of the youth hunts. You can find all the youth hunts and their draw odds and success rates on the TPW website. I would apply for every hunt you can make work with your schedule especially if free for youths.
I have drawn the Exotic rifle hunt, alligator hunt and turkey hunt as non-resident. Have been applying 12 years. Got a decent aoudad on the Exotic hunt. A hurricane canceled the alligator hunt. I did not go on the turkey hunt. Has been worth the cost to me and compared to what I have spent in NV or UT over the past 12 years so TX is not anymore of a flush of money on a hobby that physically beats me up and gives me the best memories year after year compared to most things I do. Plus, Texas is a special place with a lot of history.Honestly, my suggestion is: Don’t count on drawing one of these hunts. Make other plans for your son. If you draw one, great! Odds aren’t good though.