This is the way to go in my book. Everything gets assembled on parchment and the parchment goes on the hot stone in a 500(f) oven for 7 or 8 minutes. Then you can lift up one side of the pizza and slide the parchment out and let the pizza finish for however long it needs to meet your preference. It's normally another 5 minutes for me to get a nice crispy crust.
The whole process removes the need for flour or semolina on the stone and, in turn, removes the issues of all that sliding around when you drop the pizza from the peel.
Do a little shimmy before you send the pizza. If you see it move smoothly, it'll give you more confidence to follow through sending it. If it sticks somewhere, toss a little extra flour under where it's sticking and shimmy again. Even when I send the pie, personally I like to shimmy it off instead of just yanking the peel from under it. Shimmy shimmy shimmy till the break of dawn