R3 USB Charging with PD-E1 charger

[CGuinchard]

Is there a way to charge while the camera is on?

The charger works with the camera powered off, but I purchased this charger intending to trickle charge the battery while the camera is in use for a long livestream. 

Is there a setting or other accessory that could extend the battery life?

[shadowsports]

Greetings,

The PD-E1 can be used to charge, but not power the camera.  The camera has to be off to charge.

https://cam.start.canon/en/C010/manual/html/UG-09_Reference_0030.html

The kit you want is Canon AC-E19 adapter and DR-E19 dummy battery.