I don't like the idea of the picnic table. I don't think there's enough room. I would look into a table with separate chairs. It would be easier to store too I would think.
I have knows daycares to use the big 8 person round picnic tables for meal times, but they're so big. I'd hate to look at it all weekend. LOL I like to put things away Friday afternoon.
I would do some more searching to see what else you can do for 200, if that's what you want to spend. I think you might find some better solutions.