Actually, you can offer Limited Editions on FAA. You'd just need to set it up as if you were selling an original piece, instead of having FAA print it. Then, you'd be responsible for procuring the print, handling the transaction and signing and shipping the item.
I've noticed a few FAA members doing that, but haven't really looked into the specifics.
Have you considered selling through Etsy.com, where you also post, sell and ship your own work?
Also, thanks for providing me with the biggest laugh of my Saturday, so far!
Oh, and if you know of a better site than the two I listed...I'm all ears! (or eyes as I'm looking at a computer monitor...but, as I read there is that little voice in my head talking out loud. Crap, I'm rambling LOL)
Oh, I feel your pain!