TS to go will be more difficult. It will depend on whether the staff has time to prepare it that way or not. They could say yes or they could say no.
CS is always basically to go. You just may need to package it up yourself.
Where were you planning on picnicing? There aren't any real picnic tables, etc, anywhere in the parks. Just tables right there at the CS area. And not many grassy areas where you can sit on the grass either.