Ideally, an applicant would have taken the DAT already by the time he/she submits the AADSAS application so applying the earlier, the better. In your case, if you could submit your application on a later date such that it would arrive at the dental schools at the same time your DAT scores do, it would not make a difference had you submitted your application sooner.
The best thing you can do is submit your application now, so that AADSAS can process it and if there are any problems with your application, they can be addressed. That way the only thing you have left to do is get your scores in.