Taking a cue from having read about people grilling pizza (though never
having done it myself), and having made some flatbreads baked on the
stovetop, I'm sure you can do it. I don't know if this will work, but
here's how I'd try it:
Start out crust only, upside down, then flip it over and bake the bottom
while adding toppings. Maybe even pull it off the heat briefly while
putting them on. Then cover it to heat the toppings, and take the lid off
while the crust finishes cooking.
You'd end up steaming the toppings but "frying" the bread.
Or try it as calzone.
Diane Brown in St. Louis
http://www.well.com/user/debunix