Mix together the water, honey and yeast and allow the yeast to bloom until very foamy, 5 to 10 minutes.
To a mixer fitted with the dough hook attachment, add the flour, olive oil and salt. Turn the mixer on low to combine. Pour in the yeast mixture and mix on low speed until a smooth dough mass forms, 2 to 3 minutes. Scrape the sides and bottom of the bowl and mix for 1 more minute. Portion and shape the dough into 8 even balls, roughly 4 ounces each. Place on a sheet tray and spray or brush the tops with olive oil. Tightly wrap with plastic wrap and refrigerate overnight.
The next day, allow the dough to temper back to room temperature for 1 hour.
Set up your grill for high heat. If using a charcoal grill, distribute the coals evenly on the edges of the grill, leaving the middle with no coals. If using a gas grill, heat one side only. Allow the temperature to reach 475 degrees. Place a small saucepot with water on the grill for extra moisture.
Place a flat cast-iron pan onto the grill grate to preheat.
On a very lightly floured surface, roll each pita ball into an 8-inch round and allow to rest for 10 minutes before baking. Place a dough round onto the hot pan, close the grill and bake for 1 minute. Flip and bake for another minute, then remove to a ziptop bag. This will ensure the pita stay moist and fresh. Repeat with the remaining dough rounds. Serve!
To make in the oven: Place a flat cast-iron pan and a small pan of water on the bottom rack of the oven and preheat the oven to 475 degrees F.
Place the rolled dough onto the hot pan and bake for 1 minute. Flip and bake for another minute.
Using bread flour gives you some extra chew, but all-purpose flour will work in a pinch.