Well the medications themselves won't have a direct effect on your supply. It would be the changes they create in your body that affect your supply. As estradiol levels rise with egg maturation, milk supply may fall. The meds they would use to stim would go by the brand names Menopur, Repronex, Gonal-F, Follistim, Bravelle - they are all either FSH or FSH/LH injections, if you want to look into this more.
I mentioned that if you were to use lupron, I wouldn't know what effect that would have. Lupron essentially puts you into a chemical menopause - it's used to treat endometriosis as well as in IVF cycles so a doc can have total control over stimming your ovaries - with IVF they don't want to risk you ovulating on your own. Lupron *probably* has no effect on milk supply but I am really not sure.
Doing fertility treatments while breastfeeding is somewhat controversial. There are some docs who just won't allow it, not just because some feel pregnancy while breastfeeding is less likely to succeed (may or may not be true) but because some feel egg quality may be compromised if you do treatments while nursing.
The simplest of the fertility meds - clomid and femara, which are oral meds - might be less likely to work while nursing. These meds trick your body into producing the hormones needed for ovulation and if you are nursing your body just might not fall for it.
But when you're talking donation or egg retieval you're most likely going to injections. The theory with these is, since you're putting the hormones in, it doesn't really matter what your body wants to do - you will get the desired result. There are women who have successfully done injections or IVF while breastfeeding. I googled it once.
BUT if someone were to be paying the big bucks for egg donation on top of the already mega big bucks of fertility treatments - I am not sure they'd want to take the gamble of harvesting eggs from someone who is breastfeeding which may or may nor compromise egg quality.
Infertility is complicated. You can be developing what appear to be lots of good eggs on ultrasound, but they might not necc. be good. I did many cycles using Bravelle and appeared to have lots of good eggs, but had no success. Then one cycle on Menopur was my ticket of of secondary infertility hell. It's a delicate hormonal balance. I know it's not popular here to say breastfeeding can interfere with TTC and pregnancy, but it does throw another wrench into the works, and with so much money at stake, I personally don't think it's the best idea. I would make sure to let the person who is to be on the recieving end of the egg know you are nursing so they have a say in whether or not to proceed with you as a donor.
This is in addition, of course, to the stress of the whole ordeal I mentioned - it's a lot to deal with, and that alone could complicate your nursing relationship, as much as any other major stressor in your life could.
eta - all of this is kind of under the assumption that bf'ing will keep your cycles from returning - if they should return while nursing, this may all be moot, as it would indicate your body is somewhat ready again for pregnancy.