All three of the above always have rabbits on hand. The one below usually has rabbits, though I believe they're often in foster care rather than at the shelter facility proper:
Anne Arundel County Animal Control in Millersville, MD occasionally has people surrender their bunnies. Adoption is free for pets that aren't canine or feline and the vet contracted by the shelter is often willing to spay or neuter the bunny prior to adoption free of charge. She has experience with small mammals like rabbits, rats, etc.
We don't always have rabbits in, but when we do they often sit around for a little while and we aren't equipped to house domestics/exotics for long periods of time.