Are you sure that it’s your rabbit you are allergic to? Some people have thought that, then it turned out to be the hay or the litter or bedding. Timothy hay is often a culprit in allergies. Orchard grass is less likely to cause problems. Certain brands of hay might be dustier than others, which could cause problems. Certain kinds of bedding or litter can also cause problems. You should do some experimenting to make sure what the problem is.
One reason I am saying this is because I know how hard it is to find good homes for rabbits. The sanctuary where I volunteer is always full and I know that many other rescues are. If you try to find a home for your rabbit on your own, make sure that the people know all about rabbit care and their ways and that they are prepared to keep her for her life. So many people do not realize what goes into rabbit care and they are soon wanting to be rid of them. We are asked to take so many unwanted rabbits and it’s very depressing to have to tell people that we are full. I would not recommend listing her on Craig’s List or similar places, as you may get people who want her for reasons other than as a pet.
Even if it turns out that you are in fact allergic to your rabbit and not the hay or litter, if it is a mild allergy, many people have kept their rabbits, making sure that they are well groomed (someone else would do that) that the area the rabbit lives in is kept vacuumed, and they also use an electronic air cleaner.