I make a lot of traditional face frame cabinets and it's always a problem covering the raw edge of the plywood at the corners. A normal face frame is very obtrusive when viewed from the side. My solution is to attach rabbeted edging, as shown. This gives a finished look and the corner can sustain minor damage without marring the veneer. With a little easing of the corner, the face frame joint is almost invisible. You do have to cut the top and dividers so they are set back from the sides by the depth of the rabbet.