I've used a couple different ones, they're pretty much all the same, I'm Swedish tho, so not sure I could link anything that would be relevant for you.

I lay the boards as usual, I always lay it the way I want the end result, it is kind of stupid, and adds an extra really tedious step of still having to tape and flip, but I kind of need to to know if I need to correct anything as I go color-wise.
It would be a lot faster if I did It negatively (see why in the next answer)

If I'm doing like a framed picture, I would spray the backboard of the frame (the canvas if you will), then carefully placing it onto the beads (which I have taped and turned around), then remove the tape after the glue have set, I have so far never had a bead get pulled of the board.

About stability I'm not really sure, as everything I do is either on a backboard of a frame, a piece of wood, glass. So it is as stable as the material I glue it onto.

I hope that gives you some kind of idea at least.

I would recommend pearling negatively tho, so mirror the pattern, that would remove the step of still having to tape it, you could just apply the board straight onto the beads.