The ETS website says:
"Official Verbal, Quantitative, and Analytical Writing scores will be sent to you and the score recipients you designated within 10 to 15 days after you take the test. Allow sufficient time for mail delivery from Princeton, New Jersey, USA."
It sounds like a month (early Nov to early Dec) would be enough for them to determine the score (10-15 days) and for the report to make it to the 4 grad schools you select on that day (7-10 days at most?).
For additional reports they say:
"Score reports will be mailed to you and to your designated institutions approximately five business days after your request."
So, add 5 days to the previous calculation to find out the time it may take them to get there (at most 15+10+5=30). Still feasible, but it seems like a good idea to choose the schools with the earliest deadlines as the 4 freebies.