Model designed as a proof of concept. I didn't print it out yet since i had no time.

You can use wood screws 4x10mm or regular 3M double sided tape to attach it. 

Should be able to print without supports since all the overhangs are <45°

The separator can be printed to make 2 sections inside the drawer. 

The handle should be glued inside the hole although not necessary, the drawer can be opened with your finger.

If you print it out, a feedback would be greatly appreciated in order to make it better.