You're not sunk, just be honest (I can't overstate the honesty part) and factual. If you've stayed out of trouble for over a decade now, and have a good track record both in aviation and in your personal life since then, you have a chance. I got a call a couple weeks after submitting that questionnaire.

Best of luck, hopefully we'll see you out on the line in a few short months. Let me know if I can help at all.