What an awesome idea in a little room! Stick a mattress in between and you've saved a whoooooole bunch of waste space. *put some pillows on that top shelf, and you've got a reading nook too! the possibilities are endless!!
How to Build Under-Cabinet Drawers & Increase Kitchen Storage
This would be just as easy with a small power strip. Drill a hole in the back of the drawer big enough to feed the plug thru and plug it in behind the dresser. Use 3M Command Strips or Velcro to attach power strip to inside back of drawer. More outlets and easier to find parts.