They had a 757 in last month, and one in the 90s.
Its a really interesting suggestion for BHD. One of the biggest problems is that they dont have anywhere big enough at the terminal to feasibly park a 757.
I suspect that even the mighty 757 wouldnt have the oomph to get off the ground fully loaded for a transatlantic voyage, but i could be wrong. They have had fully laden 220 seater A321s fly out to Spain, and full Ryanairs to mainland UK.
Looking at other airports with similar runway lengths, like Bristol- they operated 757 services to Newark and even 767s to the Caribbean (even if one had a crumpled landing), but i presume being on a hill with no obstructions (not to mention yakking airport watch types) gives them better performance capabilities..?