Interesting topic - thanks for bringing it up!!
I too have always wondered about Organ Donation and RSD. I have always told my mum that if anything happens to me (and I sincerely hope and pray it doesn't), that I would like to have my organs donated. My cousion was diagnosed with Cancer after I developed RSD at 3 years old so I have seen what she and her family had to deal with and just how scary it was.
I haven't really seen that many, if any, articles on the internet about Organ Donation and RSD. I know you can't give blood if you are on any medications so I would think that that would be the same for donating your liver, especially if you have been on any medications over a long period of time. I do agree with what the others have said though that I would think that they would be able to test all of the organs and see if they are working OK and use the ones that they feel would work best.
I would talk to your Pain Management Doctor about this and see if he/she had any input on it as I haven't really read anything about Organ Donation and RSD. Please let us know if you hear anything and thanks again for bringing this topic up - it is really interesting!!