Hi G-BPEE,
The answer to this depends on many factors so different people will have different answers as to their operational experiences, however in the circumstance you describe I would mostly not allocate a contact stand for that Aircraft, and would rather conduct a coaching operation. Towing Aircraft is timely for the Ground Handlers and expensive for the Airlines so I would avoid 2 x unnecessary Tows.
If it was to come in on a contact stand, it would need to be towed off pretty much immediately to free that stand up, and then I would normally suggest that the Aircraft should be back on stand for departure no later than STD-90mins, for Long Haul and larger capacity wide bodied Aircraft possibly STD-120mins.
Then you have the problem of trying to find staff during busy times who can actually do the tow....etc, best bet keep it remote, certainly for the arrival at least.
Hope that helps.