I have to agree that your chances of employment just now are probably not good, for all the reasons mentioned by others. Yes, you will hear of many examples of people who are currently employed with a DD conviction in their past, but unless you know their full history and the context of their employment you are unable to judge the relevance to your situation. I would say that, as a beginner, you are royally stuffed in the current market.
If you are as sensible as you sound, you will put this behind you and attack another career until such time as the market is hungry enough for new pilots to ignore something that by then you will have shown was an out-of-character episode that has not been repeated, and that you have conducted your life utterly responsibly in the intervening years.
There are many examples out there of people who have rebuilt their lives after similar (and bigger) mistakes, but it will take time, and aviation just now is not likely to be the place to serve out your rehabilitation. Sorry.