See if you can find a good trainer who shows NRCHA. There are a lot of similarities to NRHA but there are also just as many differences. You will need access to cattle to work your horse on too. Like cutting you will need to learn to read cattle.
How would I find one?
Theres a place I work cattle around here every tuesday and thursday when I can. Its a group thing, their often practicing sorting though its a little harder to get to practice cutting and what not because they have the pen up for the sorters.
Check out the NRCHA site. Also check out the NRHA site for trainers. Some NRHA trainers do NRCHA. I know mine does. Also if you can not find one listed on the national site look at the affiliate list and see which affiliates are close to you. Most will have trainer listings. If not then call the affiliate secretary and ask for trainers in your area. There should be some I would think. That area has several shows each year.