Picnicking is welcome in all but a few parks on Vashon-Maury Islands, and most parks include picnic tables as well as outdoor grills. Please observe park rules to include no alcohol. And use those pet waste dispenser bags!
Picnic facilities are available in the following parks:
B.A.R.C. - Burton Adventure Recreation Center (Eden Reframed)
Dockton Park (a King County Park)