Thanks to TJ and our tool shed, I was able to design and build exactly the table I want. In a larger space, it will butt up against the machine table. In this space, it sits at 90 degrees and lets me move the cloth around me as I work.
Here's how we made it:
[Start with a weather-beaten banquet table]
[...and a piece of plywood]
[...lots of tools]
[...and a ton of filling and sanding]
[...and poof! There's a folding sewing table built for the space]