Help me decide

In my view, a pedigreed banking experience with associated training will open more doors and provide a better foundation than a PE analyst program. Plenty will disagree, but a large bank simply has more resources than MM PE with respect to weeks/months of training and associated stamp of approval of completion. 

From there, you can recruit for whatever PE you want and those groups place well, so I’m not concerned with your ability to recruit at parity or better than your MM offer as long as you interview reasonably well (which I’ll assume yes based on the strength of these opportunities).