As long as you have a good record since, you have nothing to worry about. You may have had the charges removed from your record due to being a minor, good behavior, etc. However, when this question has come up in the past there is a common response. BE HONEST about it. Turn what might be viewed as a negative into a positive learning experience.

While not in this situation, I have a number of friends that had DUI/DWI's in college. The ones that have applied for pilot positions at regionals have gotten the jobs with two exceptions. One had more than one offense. The other failed to disclose the DUI to the airline he was employed at and was canned during training.