Using adhesive straight on to a rough stone wall, I think will give you a lot of damp problems.

Smart U Video 414 Metal Stud Framing - YouTube

If you have the space you could use 50mm or 75mm metal studding and then plasterboard that would give you the air gap required and control any damp issues.
You would then end up with a true and flat wall. With 75mm stud you also would have the space for insulation.