From last cycle....there were 2 wait-periods that are out of the applicant's control:
#1) AADSAS verification period. They claim 4-6 weeks, for me, it took them like 2 weeks. They usually don't use up all the 6 weeks.
#2) DAT's official score report is NOT generated for 2-4 weeks AFTER the DAT is taken. You know that score sheet they give at the end of your test, at the top is says "Unofficial score report". Well, the official one (the one AADSAS needs) takes ADA/ADEA about 2-4 weeks to generate.
The most ideal thing to do is to take the DAT
AND submit your application on the same exact day. Since they are both going to use up 2-4 weeks verifying.
As far are what is considered early/late, read people's opinion here:
http://forums.studentdoctor.net/showthread.php?t=816497