My take on this is that the should operate from 6:00 AM to 9:00 AM with 30 minute headways towards Midtown, Manhattan and from 5:00 PM to 8:00 PM with 30 minute headways towards Little Neck, Queens. should also operate via the LIE and the Van-Wyck in both directions.
Westbound trip times: 6:00, 6:30, 7:00, 7:30, 8:00, 8:30, 9:00
Eastbound trip times: 5:00, 5:30, 6:00, 6:30, 7:00, 7:30, 8:00
I also believe that there should be special service between Midtown Manhattan and Citi Field during Mets games and the US Open. These trips times would vary based off the start and end times of Mets games and the US Open.