Drew Barrymore is going to the CBS O&O's. The site implies NYC will carry it on both WCBS and WLNY, as is the case with Dr. Phil and Judge Judy. Assuming it's an hour-long show, I bet it will air at 9:00 AM on CBS, replacing a Hot Bench double run, since that's the only hour WCBS has reserved for syndies until 3:00 for Phil. Assuming there is only one unique episode per day, WLNY will probably re-air the same day's episode later in the day or night. I could see them putting it at 11:00 PM following the third and fourth Judys to replace a 2 Broke Girls double run.
Interestingly enough, Dr. Phil is on the same station(WLOS) as Drew Barrymore will be? i believe they are both CBS Television Distribution shows.