Ruger makes a great .22.
That's a straw purchase, a felony.
It's been a couple years since my class but I believe Texas requires .32 caliber or greater for the test. If you quailify with a semiauto, you can carry any legal handgun. If you qualify with a revolver you can carry any legal revolver or derringer, but not a semiauto.
I know we do it big in Texas but we can't shoot for our CHL with anything smaller than a 38, I think.