Easy peasy. Build a box/drawer to fit the cabinet. I would use the ball bearing glides, you'll need to add spacer blocks to adjust for the face frame. I recommend building the drawer out of 3/4" material since its so wide. You can still use a 1/4" bottom, but add support to the middle to prevent sagging. Or you can build two boxes and screw them together to get the appropriate width. Once the drawer is installed, align the door to the drawer and secure it to the box from the inside. It's called a false front. Google false front drawer to get images.