I hope I explained myself. It will sit and run all day. It's just after it "drives" for awhile that it acts like it can't get the gas but I'll try it.
I agree with Bill it sounds like fuel. Sitting and running at idle means you have the bare minimum available nothing more.
Even pro's have been known to get the float setting off... I've experienced similar symptoms due to float issues.
Just curious, Will it idle when sitting at the steep incline? And Facing up as well as downhill?