Anthony Grant pretty much has the exact same resume as Stan Heath did when he got hired at Arkansas. He has been a head coach for 1 year. You have no idea if he can recruit as a head coach and run a program with his own players, and you have no idea if he can do it at a Big 12 level. He's not quite as much of an unknown as Martin, but he's close.
Grant may turn out to be a good coach, but you don't have a guy with his resume as option #1.