I would certainly think that the Perch would be operational by February. As far as rental cars, again, I think you should be able to get a rental car. It's not going to be 'business as usual', but if all you want is to sit under a yellow umbrella and look out at Green Cay, on the best nude beach in the world, it should suffice.
Sounds perfect Pelican. The car rental place we use, Automax, is up and running. The only caveat is if you like to use the pool at Mt. Vernon. We like to use the pool in the evening--StudioSXM couldn't give any kind of timeline as to when the pool would be operational. It's hard to imagine much better than sitting under those yellow umbrellas all day, so you're probably in for a great trip.
Looks like we wont be coming in February. While it was all possible, including selling our booked cruise, after looking at some recent damage videos, we decided the the experience might not qualify for a vacation yet.
Primarily, we felt lodging might be navigating a daily construction site and might be inconvenient at best and dangerous at worst.