How long are you running the MP Rotators for? I install MP Rotators all of the time, but they normally should be running twice the length of time that a spray head runs.
If need be, there is nothing wrong with starting at 2:00am. Just watch the times in early spring and late fall when the temperatures are cooler. But at that time of year, you won't be watering that long anyway, and you could start later in the morning.