At least Texas and St Louis are not on the West Coast. You have to figure the SF and the Oakland home games get the late slot, and conveniently the Giants host the first 2 and Oakland hosts the last up to 3. You can figure that those will all be the late slots.
I buy that the NYY will get the prime time slot for every game they are in. Zuckerman is probably right - Afternoon games until the NYY are eliminated. I don't know if Columbus day makes afternoon baseball more attractive in NY, where it is a holiday (same I guess is true for the federal gov't center, I suppose).