I had the oven situation on mine too. Turns out the Suburban oven had a defective pilot light assy. They replaced it and we're good to go.
Symptoms. Pilot light lights, turn up temp and burner lights but oven doesn't get to temp, pilot and burner goes our. Symptoms repeatable.
You can light pilot and walk away from it for 15 min, but light the burner and the story repeats. Sound familiar
2016 Flagstaff 27VRL Emerald
2014 GMC 2500HD CC 4X4 6.0L