If you really want lobster, then you'd better eat it the night you arrive because the next day, it goes out of season. You can't have it no way, no how.
I always recommend that people go to Jambel Jerk for lobster (right by the town square and the food vendor kiosks). You can have it prepared anyway you like. I always have it grilled and NOT "jerked". It's the best I've had anywhere.
Now having told you all that, I must warn you . . .Jambel's is not like every other restaurant you have ever been to. If it is busy, it is very hard to get a seat, especially between 7 and 9. If you can be patient, you will eventually be seated and it will be well worth the wait. So belly up to the bar and have a drink. You'll be able to tell if it is a crazy night or not, by how Fitz (the owner) and Hector (the bartender/waiter) are behaving. If they look very confused and like chickens with their heads cut off, they are really busy, so patience is in your own best interest. That is once you make it known that you intend to eat there by hook or by crook. Do that early, they will ensure that you get the next available table.
If they just look like they are busy and aren't paying any attention to you, then, they probably aren't all that busy.
Make sure you let them know that you intend to eat there by hook or by crook and they'll get you the next available table.
I always like to eat upstairs unless it is chilly or very windy.