Ya right, arrive at about 6AM EDT, tired and red-eyed, ready to deal with the customer after almost zero sleep. (there are reasons they call that flight the red-eye).

You really shouldn't let them fly you at the odd flights, yes I know it saves the program a few bux. It's not worth the minor savings. Flying Sunday AM would cost more, another night in a hotel, plus per diem etc costs.

But you would arrive bright-eyed and well rested, instead of wearing the same cloths you slept in.