When I using the little giant I had the same problem though eventually the LG would kick in cause it was regulated by temp, not just flow.
I put a bigger jet, an 04, in my HK tool to allow more flow to trigger the LG sooner.
I don't know if that's an option for you with the
Prochem tool, might be too much water for it to recover.
You could do what an old cleaner did. He ran a line into the house to a regulator, and a line from there back out to the fw tank
He would adjust his uph pressure at that regulator while the trucks reg stayed the same. So as he cleaned, the water excess would bypass back to the truck. This also kept hot water right there at the uph tool, no need to flush the line to get the heat. Your burner would have all the flow it needed to trigger on, and the temp reg would turn it off.