There's usually at least on dealer in any antique mall that sells Howard's. I've used Formby's refinisher on some furniture with moderate success. It works by dissolving the old finish and redistributing it. Not as good as a real restoration but it works.
You might want to check Glenn's tutorial here on restoring sewing machine cabinets. His methods will give you great results and your card table is worth the effort to do it right.
Rodney