Do you have any stats on BB? I think if I were to play this with the UTG limp I'd pot preflop.
Readless, if we give BB a range like this it's a spot to stack off.
If we don't think he check raises with a flushdraw I would fold. Unless villain is very aggro and could raise with some flushdraw or Q2 I think we have to find a fold against a check raise into 2 players.