Antique Dresser Restoration/Upgrade Help

My wife bought an old dresser for my daughter's nursery. The problem I've run into is that the supports for the drawers have worn out over time. The drawers are inset and the drawer fills the entire opening; unlike more modern inset drawers. Because of the worn out supports, the drawers are clumsy to open/close and they don't line up perfectly.

I am looking for ideas to fix the drawers. I would prefer the smooth operation of metal slides, but due to the full sized drawer, traditional slides will not fit without butchering the dresser. I have looked at options such as center mount slides, but I am not sure that they can withstand the weight of a child opening and closing them repeatedly.

 

The cleats on the sides are pretty easy to pop off and replace. You can tell the height they should be based on the rear clear height and the front of the frame that has not been worn down. I would recommend using Oak... wood glue... and a few Brad nails. As for the notch in the front piece, you will probably just have to fill that with a wood filler or Bondo and rasp it down flat.

I suspect that if you flip the drawer over it might be a little worn too but I can't comment on that without seeing it.