I know this is old and probably history by now, but here is a philosophy. For public record, file a dba after termination. Non-compete violations are difficult for former employers to win and costly to pursue. In court, it comes down to how competition is defined, so if you are not actively soliciting your former's clients or prospects, your business actions are not intended to interfere with your former's financial goals, and you are in no way profiting from knowledge gained from your former tenure (except experience), then there is not really competition in the spirit of a non-compete agreement. Even though competition is inherent in the free enterprise system, a non-compete agreement, in the usual wording, pretty much says that you can't pursue a career in the same trade - which is why they are weak in the courtroom. They were mostly designed to prevent intangible theft, like taking your sales prospects with you. As it was put to me once, "I can't solicit your business (,but nothing prevents you from contacting me)." I probably have this all wrong, but this is my estimation from experience.
The only thing I would have done differently, in the original post, was to not tell my employer what my intentions were.