There was a house up near there that Guavaberry helps manage. I have to assume it isn't available for your time period. We were looking at the Casita, since it is just the 2 of us (no big house needed). We ended up moving our dates to get the lone one bedroom cottage still standing at Guavaberry (we leave tomorrow!).
This page supposedly lists places that are open, including lodging and restaurants: http://www.bvitourism.com/virgin-gorda-update

Accommodations
•Aquamare |
•Batu Villa | 284-547-7769
•Bay View Apartment | 496-0990
•Fischer's Cove | 344-2688
•Gorda Terrace | 499-6045
•Leverick Bay | 284-542-4012
•Sol Y Sombra |
•Sunset Watch |
•Virgin Gorda Village | 542-5544