I just don't see how this guy could have done it and left only a hair to connect himself to the crime. I'm betting that they have loads of evidence, and they'll know for certain very soon whether he did it.
The packing tape alone should reveal something. Was it cold enough for the bar bouncer to be wearing gloves after he left the bar? Now they can even track the fabric pattern of the gloves, but it's hard to prove because so common.
He sure sounds like a good suspect, though.