You inspired me.
I bought some drawer slides thinking I could use them to hold up an extension. Didn't work, not stiff enough.
So I added a couple of supports under the table to connect the slides to and built a drawer. The biggest problem is the table leg limits the drawer to about 6" in depth. Still, with 16" slides it provided good support.
Table with Drawer
With 8" Extension
With 8" and 7" Extensions
Drawer with a Few Things In It
The one thing I would definitely change is the width of the drawer. I think it could be about 4" wider.