Found bunny, animal shelter won't take it. Now what?

I found this cute bun hopping down the road at 5:30 this morning and called animal control almost immediately. Six hours later, they called me back to say that they believe--without looking at it--that this is most likely a feral rabbit. They won't take it; they believe it has some sort of contagious disease: and they told me I should put it back outside. Most (all?) rescues in the area don't accept strays and direct me back to animal services. I have two cats and my roommate has a dog--there's no way we can keep this bunny. I don't want to condemn it to die outside, but letting it go is what the literal animal experts told me to do. Does anyone have any advice for what to try next? Or any signs that I could look for to determine that this is, in fact, a feral rabbit? Thanks

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