I've never had a problem riding drunk. First time i did it, i had to climb up a huge hill to get home. No problems.
the other day, I woke up still incredibly drunk and i had to go to class. Hopped on the bike rode across town to get to class. Longest hour of my life (I don't know how much good taking notes drunk does but i managed to do it). Went back home and slept for another 6 hours.