Girl, didn't anyone teach you about crying in front of cops? Works every time and then you don't have any of that stuff on your record.
Just kidding! I agree with everyone else. Definitely don't try to hide it. Fess up and make sure you don't get anything else on your record in the future. I think airlines are more understanding the longer ago it was. Always include how you learned from it and are making sure it doesn't happen again, blah blah blah.
Oh also, I would go to the DMV and have them pull up your NDR so you know for sure what's on there.