Need more storage with this train table. Can I just nail trim pieces so storage bins can slide in and sit on top?

I picked up this nifty train table at goodwill for $10. I need more storage for the train tracks, I had them in bins under the table but I don't like the look it never looks neat under there. The table comes apart in 3 sections on top. The middle section holds two drawers, one on each side of the table. I was wondering if I can nail trim on the insides of the table(without drawers) and slide the storage bins across the tops? I hope that made sense. In these pictures the last two show how I would like the bins to sit under the top of the table. Thanks for your help and have a SUPER day!!

Submitted December 31, 2014 at 11:22PM by shhnobodyknows http://ift.tt/1B55Frk