Or, perhaps you can bring something to the picnic a little untraditional, maybe, but that is also naturally gluten free -- how about clams or mussels with a lemon-garlic sauce?
For one great recipe idea, you might want to try this "Moroccan Whole Spice-crusted Chicken Brochettes" from one of my fave health food stores, PCC (Puget Sound Consumers Coop). Just do a search on the name and PCC and it should pop right up! It is a designated gluten free recipe; I haven't made it yet, but made a similar Martha Stewart recipe that turned out great! Plus, it adds a little elegance to the usual barbeque, don't you think?
If you have other special Fourth of July recipes, please let us know with a comment!