Well I had a similar scare AFTER I got my rabbit but there might be hope for you too! First I found out the main reaction was the timothy hay. I and everyone in my family are allergic to it. So my bun is on Orchard Hay which is one of the more recommended for allergies (so my mom says who researched it). And I always wash my hands after dealing with hay or my bun (I have to do it for all animals). Second, one more investment made live happier with my bun… an air filter. I’m a high allergy person too. Allergic to everything including dust and mold and every furry animal. So having an air filter in the room I share with the Bun has made my life better (and my boyfriend).
If possible, I would try visiting a rabbit in a secluded environment. Away from their hay, their old bedding (most pet stores put rabbits on pine shavings which I am allergic to) and hold him and if your up for it, put him near your face or another sensitive area. This will give you a realistic idea if its the rabbit or something about it’s environment which you can change. I did it, no reaction except to a scratch which is normal for me anyway. IMO one allergy attack is better than always being miserable with allergies or giving up your dream to own a bun. Because it was something I dreamed of too.
I live happily with my bun now and spend several hours a day petting him and I’m trying to train him to give kisses 