HH does not have wireless- at least yet (I was told last week it is in the "planning" stages- whatever that means). I use Internet Service of the Low Country (ISLC) at HH- they have a special vacation rate of $10 for a week of dialup service. Just make sure they give you a local (on HH island) access number since any calls off the island are long distance and will have obscene surcharges. For members, local calls are $0.35 each.
As far as I know, VB does not have wireless or braodband yet either, but there are local dialup services available.