Never been to Binghamton but the 3rd floor thing is interesting - that specific floor pattern comes up a lot in these older American hotels. There's something about the layout of those early 20th century buildings, the way the rooms are arranged, that seems to generate these reports consistently across completely different locations.
What exactly did you notice up there? Like a pressure feeling, sounds, or more visual stuff? Asking because the type of phenomena usually tells you a lot about what you might actually be dealing with. Residual vs intelligent haunting gives you very different experiences and people often conflate the two.
Anyone else on here who's done a proper investigation of a hotel like this - not just a one night stay but actual equipment, multiple visits - please jump in. Would be good to get some data points rather than just vibes.