Sorry to see your install didn't turn out like you were hoping Jon, that really blows. I personally have always been on the side of wet method application for larger graphics but plain and simply it all comes down to surface preparation. A good couple coats of a high gloss polyurethane or a very good quality (cheap shit from home depot isn't gonna cut it) oil base paint will never cause the problems you are having. A light mist of a Rapid Tac or something with a little alcohol is better than the old soap and water method as it's getting harder to find clear dish soaps without all the frilly fragrances and anti bacterial crap in em. The trick with the wet method is a light mist that's just enough to suspend your artwork, if you can bathe your family in the water thats sheeting off your cabinet, you've used too much. Next time, try a sherwin williams "all surface enamel" i've used it for years and it's never ever failed me.