Pita bread is still basically bread dough, just cooked differently. You can try making a roti, which is similar to a pita bread, but is made with a vegetable in the dough. The ones I have made were made with sweet potato, cooked and mashed into some flour and a little baking powder and then cooked in a skillet instead of baked in the oven. They turned out somewhat similar to a tortilla.
If you want a low carb bread alternative, you might try making almond meal bread. There are a lot of different recipes on YouTube, some can be cooked like a flatbread (which is what I usually do), and some people either microwave them or bake it in the oven as a loaf, like regular bread.
Almond meal has a lot less carbs, and a lot of good protein, so it is an excellent choice for a bread substitute.