ClubCorp is awesome and they always work with you. At my club (The Hills) the junior membership applies to anyone under 39. There are usually a few options for the initiation -- 20% down and defer the rest until you reach regular membership, yearly payments, etc. Every club is a different, and you should be able to get an even better deal in Houston, as there is a lot more competition.
At the very least, have the Woodlands Country Club set you up for a round/tour or a prospective tournament. You will get free golf, booze, food and see if you like it. If you have any questions, you'll be able to have them addressed as well.
You just have to be careful with your eating and drinking. For me, the monthly fees are fine, but it's all the booze, food, events and cart fees ($20) that really add up quickly. Just giving your member number is a lot easier than even using a credit card and I am always shocked when I get my bill.