I made all of the same choices you did, Alex, except that I stopped by Dee and Dum's office between Crane's apartment and the Trip Trap. Nothing significant happened though, as Bluebeard made off with the one valuable piece of evidence he'd come for. Bigby did meet Flycatcher, but apparently I was one of only 3% of people that didn't offer him a job when presented with the opportunity. I know, I'm a dick.
It seems highly unlikely that either Bloody Mary or The Crooked Man are the killer. The killer murdered a prostitute in glamour that made her look like Snow, which shows that the killer is after Snow. So if either Bloody Mary or The Crooked Man were the killer, wouldn't they attempt to capture Snow along with Crane?