I couldn't do it. I've thought about kids, and it's not an option for me, now or ever, but if it ever did, I would adopt. Pregnancy and the thought of using my body makes me ill, I dunno.
Even if your eggs are healthy and your body seems to bounce back from the effects of T quickly, it's not a guarantee that you will be able to become pregnant or maintain a pregnancy easily. Some people have done it, yeah, but I think it's more of a case by case basis. I know a guy who tried this with his husband. He stopped T after being on it for two years and they tried everything they could to get him pregnant. They even resorted to fertility treatments, which resulted in the start of a pregnancy, but it didn't work out. I believe after further analysis, he found it might not be possible due to a family history of complicated pregnancies and his own body being really confused/unbalanced after consistently taking T only to be pumped full of female hormones, etc.
His dysphoria was also the worst it had been in years, so it is something to think about as well. If you're ready and want to proceed, I'd talk to your doctor and dig around to see what your options are in terms of egg storage/fertility assistance.
Texas is NOT likely to allow you to be the father on the birth certificate, unfortunately. They don't even let people born in their state alter their own birth certificates, which is vital documentation used for marriages and other fun things. I dunno, mate. Were you born in Texas, or did you just move there? If you're originally from a state that allows you to amend your birth certificate, that might allow you to be the father on the certificate if your girlfriend did the pregnancy thing, but if you carry a baby and deliver it? Texas will probably deny you that title. :/