I can't tell you if the RP overheats the sensor when used continuously, but if its not cold out, that's a real concern, because the sensor is running all the time. That is probably the biggest issue, power is easy.
I'd use a external power supply. I have a Case Relay which can be powered by AC or USB / USB Battery and will power any Canon DSLR (except 1 series) continuously. I used it with the appropriate adapter on my 5D MK IV, my EOS R, and SL-2. (The SL-2 adapter is the same one used for the RP).
If you are using a USB battery, the case relay contains a internal battery that keeps your camera working while you change USB batteries. What I like about it is that it can be used for any Canon DSLR except 1 series by changing the plug-IN adapter