Back to the question of is it doable. Yes it is doable, however, you will be wet when you get there and wet when you get back. If you do not mind eating dinner soaking in salt water it is doable. You could take a taxi from Leverick to Gun Creek and take the water Taxi to Fat Virgins. That would is an enjoyable ride. From there you could have a nightcap at Saba or BEYC and take the water taxi back to Gun Creek.

Check with Nick, I know there was a water taxi between Leverick and BEYC a few years ago. Do not know if it is still going.