When a box is made using dadoes it can be glued together without needing any fasteners,
although you do need a bunch of clamps. Once the glue dried over night I added some nails and screws to increase the rigidity of the drawer.
Having decided that I wanted to paint the project white I used a trick I learned from Izzy Swan. Recently I saw, but now can't relocate a video of Izzy drying latex paint with his propane torch, fast. I modified his method by drying the white paint with my heat gun.(almost as fast)
I used the highest heat level to dry the paint, and by moving it around steadily I didn't have any troubles. Using the fast dry method last evening I put on two coats of paint in 30 minutes, including clean up. I like the idea of very short drying times.