If I am reading this right, your concern is how the water will flow from the pot located on the propane burner to create a flow out of that and into the mash tun for the batch sparge. I assume the pot does not have a ball valve on it, so you will need to have a tube run from that over the lip of the pot to the pump. That could be tricky based on the relative heights of the pump and the sparge water vessel. You might want to elevate the propane burner so that the bottom of the pot is higher than the pump. Once suction starts, it should continue as long as the tubing stays below the water surface in the pot. You can start a suction on the end of the tubing that is running from the pump to the mash tun by sucking on the tubing, connecting it to the mash tun and then starting the pump or if you are adventurous, start the pump and have the exit tubing held below the pump level and draining into a separate bucket, proceed to kink the tubing to stop the flow once it starts and then connect to the mash tun inlet.
As to pump types, I like the Topsflo TD 5 and the Anvil Foundry pump set up best, as well as the March pump (in terms of pumps that I have had or used). I am sure that the Blichmann Riptide is really better, but it also is a bit more expensive (I don't have that one). The March pump is a bit noisy - just so you know.