I've considered donating eggs and made it through the very first screening process before. I didn't finish going through because it's just A LOT of work. If I was accepted after additional screenings, and if a couple decided to take my eggs (I'd have to write a profile, put up photos of myself at current age, toddler, and baby), I'd have to go daily, and then once-twice a week for injections (which can be feminizing).
Where I would donate, they only want people who are under 30 and are either in grad school or have graduate degrees. You also need very little negative medical history in your family and your own personal medical history. Where I was going to donate, you also need to be within the doctor recommended BMI range for your height.
I wrote a bit about egg donation
here.
Based on your post, I am assuming that you're on testosterone, and you also say something like ovarian hyperstimulation syndrome would be dysphoric for you. While this may be completely wrong, but I am just guessing that many donation sites probably wouldn't want someone who's been on testosterone because they want someone who's naturally as fertile as possible. If you're on T for awhile, it can mess with your fertility. Also, if OVS would cause you dysphoria, taking injections daily, having ultrasounds, getting eggs removed (which involves sticking a tiny little wirey thing up the vagina) would probably also cause dysphoria.
Also, donating eggs isn't quick and easy. If you make it through all the steps for acceptance (which starts with basic history of yourself and family, then onto more advanced medical history, and then in-person interview with someone at the donation center, then medical and fertility tests. . . .), you don't just donate some eggs and move on. You have to submit a profile and photos, and then wait around until a family or individual picks you out of all the other potential donors on-line. So, if you're on T now, and stop T just to donate eggs, you might be waiting around for a really long time before a family picks you.
Also, where I was going to donate, being a red-head does NOT get you rejected. They want people of all races, ethnicities, colors, eye-shapes, etc. because they want every person who needs eggs to find someone who looks like them. When you're picking eggs, you want eggs from someone who's smart and looks like they could be a member of your family.
Besides all the other stuff to consider, you need to ask yourself how long you'd be willing to get off of T for in order to do this.
Edit to add: a good site is
http://weareeggdonors.com/
