I find myself with the same lead wrist issue with my longer clubs (3 wood, driver). My swing thought with those clubs is to keep my trail wrist and hand in the “serving tray” position. It, generally, keeps my lead wrist in flexion to supinate through the ball.
As for the driver on the range… not sure what type of range your hitting on. Personally, I leave the driver in the bag if it’s a mat only range. I need a particular aesthetic to get into a driver setup.