Internship offers: Top BB S&T vs MM IB

I have SA offers from a top 3 BB in S&T and a decently ranked MM in IB. I go to a non-target and I’m not quite sure what I want to do long term so I’m trying to go with the one that will give me the most opportunities moving forward. Would being in IB open more doors, despite being an MM, just because I’m doing IB, or would the bigger named bank help me out more? And if I were to leverage this to do IB at a BB next year (either another SA or FT), which would be easier to do so? 

The BB is definitely more alluring, but I don’t want to choose them and then having it be in S&T hinder me. 

Would love to hear your thoughts as I have to make a decision shortly and haven’t seen too much of this comparison on here.