updated original post with the exact date and time and included a google map of the area if you've never been there. If large groups from further away intend on driving down feel free to coordinate a group drive
Ok the answer is in. They say "small" grills are allowed. What a "small" grill is I don't know. I suppose if people have something they want to haul in feel free.
I've got a smaller grill I got from cabelas I can haul in. Used it for tailgating for patriots games and they still have the charcoal grills in the park already. You can still just bag lunch it if you prefer