New here and a few questions about gestational surrogacy

Hi everyone, this is my first time posting, and I hope someone will have a similar story to mine. I am 32, husband is 34, and we do not have any children. I am currently on two anti anxiety medications which I have been unsuccessful getting off of, so at this point I am going to say that I will be staying on them. However, I feel uncomfortable being on these medications and being pregnant and what this might do to the baby, plus I have a great fear of being sick (vomiting) and the idea of birthing my own baby scares me to death. I've been on birth control since I was 16 (started it due to bad menstrual cramps) so we have never tried to get pregnant so I have no idea if I could if I tried. I had a friend that did gestational surrogacy (her eggs and her husband's sperm), and another women just carried the baby. Once I heard about that, that instantly appealed to me. We can still have a baby genetically related to both of us, but I won't have to deal with my fears of being pregnant or having the baby. My husband is almost on board with this idea, and we plan to see the Repro/Endo doctor soon to discuss. 

Does anyone have a story like mine? Most everyone I read about is doing surrogacy because they have run out of options. We have never even tried to get pregnant, and I suppose some doctors would say that anti anxiety meds are fine to be on while pregnant, but I just don't want to take that risk. I guess my question is, if I want to do gestational surrogacy and am willing to pay for it, can a doctor say they won't do it? What factors might disqualify me?

I truly feel that being pregnant would just put me over the edge with my anxiety and I would not be able to handle it, and the whole time I would just be fearing how this baby is going to come out of me. I feel like if I did not have that experience, but got a genetically related baby in the end, that would be better for me mental health wise all around. I hope that does not sound selfish, I am just curious if I'm totally off my rocker here or anyone else feels the same as I do? Thanks for anyone who wants to comment.