UH is not a transfer friendly law school. They require you to be in the top 5%. With that stats, you can probably get into some Top 14 law schools. In other words, if you have what it takes to tranfer into UH, you probably can trafer to UT, WUSL, Georgetown, etc. too, so why waste the application fee on UH, even if Houston is where you want to be, you can always return there with your Top 20 law school degree.
Many UH law graduates are currently struggling to get jobs, let along STCL graduates and especially a tranferer. These are things you need to consider. The high tuitioin at STCL is not worth it, unless you're at the top of the class. Have you considered Texas Tech?