Two weeks ago Sunday I built a 12" deep base cabinet and a 24" counter base. I over built it, completely out of 3/4" birch and maple plywood, with tons of pocket screws.
The whole thing will have a concrete top. In this picture the top is 3/4" plywood. Picture a 1.5" concrete slab and a nice single slab of maple connecting two drawers.
I salvaged the drawers from the Thomasville mistake. They're not bad. Nicely dovetailed. Pretty solid. I'll get some AccuRide slides (maybe full extension if they'll fit...they're pretty narrow drawers.)