I take it this would be a stand alone CP, and not part of a cabinet. If it is for a cabinet, disregard the rest of this post.
I think that that could work, but I'm curious why it would save you some trouble. you'd still have 2 rectangles on the front and back, and the two sides would only have one angled edge. Not very hard to cut, build, or deal with.
However, if you DO go that way, you may want to look into those height adjustable feet that you can get at Home Depot/Lowes/etc. You screw/unscrew them to adjust the height so you would have more choices depending on an individual's preference. Plus, it would look pretty good cosmetically and probably be most user friendly.
Just my .02