Instead of messing with the pump cycle, get an accumulator tank to lesson the load on the pump. It will hold the pressure in a bladder and then release. I dont think the pump is supposed to run continuously like that. I also run 200 feet 5/8 hose and a 3/4 inch suction hose. No fuse and I'm going on 2.5 years with the same pump, running all kinds of acid and caustic.
I think your motor just overheated from running constantly. You may also need to vent wherever the pump is kept so it gets some air in there.