While I haven't been to this range, it has good reviews on Google. It's also a relatively short drive from the airport and rents all varities of handguns as well as some of the heavier rifles. http://www.springgunsandammo.com/range

All of the ranges I've personally been to are all at least an hour drive from IAH. I have been here, but it's all the way over by George Bush Park and I am not sure if they rent guns (when I went, we brought our own). http://www.amshootcenters.com/

Others may have suggestions too.