Welcome!
Why KOA? You might as well rent a car and stay in hotels! A KOA site can cost as much as a hotel room.
Go to the NPS.GOV site and look up the 3 parks. Find the sections for camping and see what they offer IN the parks and what they suggest NEAR the parks. All 3 of your choices are leaving you a pretty healthy commute to each park. Make reservations immediately.