Why buy into a neighborhood that has these stupid rules?
I don't understand why you would not be able to bring a motorcycle onto a propery either, but had to turn down living in an apartment complex I really liked once upon a time because they had this exact rule. When I asked for a justification, they said it was to prevent disturbances caused by the loud noise of motorcycles. I asked why they banned all motorcycles, instead of just mandating a certain noise level (some bikes are not loud or can be made to be with the right exhaust and some cars/trucks are louder than bikes) and they said it was too hard to enforce unless it was a total ban. Needless to say, I decided to live somewhere more motorcycle friendly.
I think all you can really do is petition the HOA to relax their motorcycle policy or to grant you an exemption. If they don't budge, all you can do is move somewhere that does not have a HOA controlling what you do on your private property.