Although it seems kinda weak, I think you should just fold here. I'm not sure what the big stack would cold call here with, but it could be AA/KK. I just think you are going to end up losing a lot of money playing this hand in this spot. I don't think you can just call here, you have to either push to isolate or fold. I doubt the BB has a pair smaller than jacks. His play looks like AA/KK/QQ/AK. So to him, you are either dominated or a small favorite. The BB complicates things even more, because I don't think he is going to continue, unless he has you dominated.

All things considered, it just looks like you could lose a lot of money, but its unlikely you are a big favorite.