For a one night stay that late you might consider Hyatt Place. They have a shuttle from FLL to their hotel for $5.00 per room reservation. It's next to the Harbor Shopping center that has a Publix market, shops and restaurants...a favorite of ours is Duffy's.
Use either Uber/Lyft or a shared shuttle (several companies available) from the hotel to POM but I would have a much earlier pickup than you posted.