I ordered the LG V20 Case, Kaleidio [Flip Jacket] Hybrid Wallet Book Style Cover - Amazon link.
When the case arrived in the mail my first thought was how huge it was, it looked like it could hold a paperback book. But my V20 fits nice and snug in the TPU case. My only complaints are that the magnetic flap to close the case is far too large and looks tacky, maybe this wouldn't have been the case had I ordered black, and removing the phone from the TPU gel backing is a bit difficult. The phone mount I have in my car can't accommodate the case so popping the V20 in and out easily is something I want.
I don't like leather cases and prefer a more canvas-type feel, and this fits the bill. I haven't dropped the phone yet, but I feel comfortable tossing the phone on to my bed and if it should bounce off the mattress and onto the wood floor, the phone should survive without a scratch.
The case does cover up the second screen. I saw some wallet-style cases that had a second screen viewer in them but they looked so poorly put together that I was hesitant to order one. I'll wait a bit to see if something better comes out.