I think the place we went to (pre hurricane) was Mimi's. Right on the ocean and had the best lobster. It was expensive but our best meal!
100 percent go to Mims. Amazing.
For a 'nice' dinner out , I prefer my lobster removed from the shell, Chef Doug in Frenchtown @ Hook,Line,Sinker will make a vanilla rum sauteed Lobster than sets the standard for me.
Sinker will be open from the 23rd saw sign on the door. I had some lobster at greenhouse was decent. I have heard many talk about Mims that might be a good bet for you.
Awesome sinker will have just reopened
Duffy’s had an add on Facebook for lobster night at $26.75 That’s about half what you will pay elsewhere and it usually includes a large salad, rice and corn on the cob