What's the best way to deal with a needle phobia but when wanting a FUE Hair Transplant? Can the doctors accommodate it?

I’m not trying to secure business from you but just to educate you. Our clinic is in Tijuana Mexico and were able to charge less than half of US prices because of the economy here and with quality. We take our time it with our injections and use several methods to decrease the pain including using  i’m not trying to secure business from you but just to educate you. Our clinic is in Tijuana Mexico and we are able to charge less than half of US prices because of the economy here and with quality of equal or better than USA and European offices.  We take our time with our injections and use several methods to decrease the pain including using  light sedation.  Reoccurrence you to to speak with some of our patients who have had or undergone our treatments, and we encourage you to contact us if you have anymore questions. 

If you are afraid of needles, then talk with your doctor about this.  Most doctors will accommodate to your issues and help you through the surgical process.

Some doctors use twilight sedation (or will if you ask them), which means you probably be awake and responsive, but you'd also probably not care about any needles either. You should talk to your doctor about your phobia and they'll do their best to accommodate you.
On another note most doctors probably wouldn't recommend a hair transplant at 22 except in special circumstances, since at that age you won't know what kind of balding pattern you'll have later on so a transplant done now may look pretty bad in 5 or 10 years if you keep losing hair.