Bob at PressureTek was building some Chemical Bobcat pumps which were like a weedeater engine with a Delavan pump head. He only mad them for a short time but stopped due to the insurance liability I think.
It was a great idea and several guys bought them and I think they are still working.
I am not sure how much hose you can pump through with those smaller pumps but I had 200' of 3/8" hose a while back when I was running my FloJet pump that was 110 volt so I had to use a generator. The specs were 95psi at 1.6 or 1.8gpm, not a whole lot but it would get the job done at a good walkable speed.
I think that part of why they lasted me 1.5 years is that the pressure was higher for that much hose, if it was like 60 or less psi it might not have lasted as long.
I am not sure if it would go 300' or not but it always did 200' of the 3/8" hose.
Back to the gasoline powered pumps, it is probably the speed issue, you would have to run a gear drive to slow it down or maybe run it at higher than idle and have a pump head that would attach to it easily.