In a large mixer bowl with a dough hook, add flour, salt, and baking powder. Mix well and add oil and just enough water until dough comes together, but not too much to make it watery (add more flour if this happens). Wrap in saran wrap and let sit in fridge for 15 min.
Meanwhile, slice pears and radish with a mandoline. Shred cheese and cut prosciutto. Whisk honey and balsamic together and set aside.
Heat grill to and then turn to low heat.
Divide dough into 4 parts and roll out into thin rectangular strips
Grill for 3 min on each side with ling closed on low grill heat.
Evenly divide toppings into 4 parts and place on flatbreads in this order: pears, radishes, manchego cheese, prosciutto, goat cheese and arugula. Close lid and grill for another 5 min or until cheese is melted.