Mine is covered through my Met Life Renter's Insurance. I didn't have to specifically add it on, like say a wedding ring (that's a special coverage). The representative was telling me that it's covered for theft or damage whether it's in my garage or on my roof rack of my car. If I'm riding it and I get hit by a car and it's damaged it's covered. But now if I crash it myself while riding or I pull into my garage while it's still on my roof rack, I don't think it's covered.
Do you have renter's or home owner's insurance? I'd start there. Or call up companies that deal with renter's and homeowner ins. and ask about just the bike. Then get all the details of what would and would not be covered.