I have seen the adhesives on tape like that stick better than paint. I would test the adhesive first to make sure it is removeable. Take a small piece of the stickier material and put it on the door by the hinges. If it is removeable, then good, if it rips off the finish trying to remove it, it most likely will not be seen. If it falls off before you have a chance to finish your artwork, then It will not stick long enough to be worth your effort.

Nice minimal drawing...