His schedule would change from day to day with check-ins and check-outs. True it'd be a trek, but if said stranger is really interested in poor widdle Andy, he'd be willing to take a chance and go about the whole place, or just sit and wait for him in the lobby. I guess it's good to think about, eh?
Well, couldn't he just find Andy there, himself? I think it'd be more plausible. That he'd do a bit of a search and find Andy cleaning a room somewhere, and that's how he does it, instead of doing a bit of a roundabout and putting Andy at the end of the line rather than at the middle, where he should be.