I am planning a trip to the area from the 29th March to April 1st. I have been reading your replies and would really value your opinion. Here is my thinking...
Fly into Phoenix and spend 29th March. Drive out first thing (7am) to flagstaff for breakfast, look around, back on road again to reach monument valley by 2pm/3pm.
Stay 30th at The View, they have availability.
Leave early on 31st and drive to Antelopes or Grand Canyon. Stay at GC.
Leave 1st and drive to Phoenix to make evening flight.
I hope you can share some of your wisdom and it would be greatly appreciated.