Hey -- I live in Bedford TX.. there is a Planned Parenthood here:
2816 Central Drive #160
Bedford, TX 76021
P: ###-###-####
F: ###-###-####
They offer testing, I don't know if they do blood testing. I am assuming they will tell you at two months pregnant you should have the hormones in your urine and blood test shouldn't be needed? But it can't hurt to ask.
The other option would be to call one of those Minute Clinics that CVS or WalGreens offers, or go to a Carenow. They shouldn't be terribly expensive and I know the Carenow should be able to do a blood test -- call first and ask. I've been able to call and ask them in the past what they can do.
http://www.carenow.com/
Keep in mind, lots of things can cause your period to be delayed. Weight fluctuations, stress, hormones, diet, age. When I was heavier I used to go months without a period. My girl friend who was very thin missed them for the opposite reason. It really sounds like you probably need to get a physical -- which is something the Minute Clinic/Care now may offer - I would call and ask what services they offer?
I hope some of that helps, that's all I can think of offhand. :)