So there's a corner and a door...when you slide the trap out of the way, where does it slide and hang?
You have to reserve space for the trap to slide to and occupy.
I also have a corner w/door...and there would be no place to slide the trap. To one side is the wall, to the other is a piano.
The other option would be to hang the trap on the door...but it depends which way the door opens and if the trap will get in the way. The gobo w/wheels might be the easiest solution....