Big Daddy, find a way to be there! I would never play in a league where I couldn't draft my own players...just wouldn't seem like "MY" team - and where is the fun in that? Go home early sick if you have to. By the way, you don't look so good!
Draft time is not good for me either, I will still be at work, but luckily I can lock myself in my office and put up the "Do Not Disturb - Draft in Progress" sign.
But since we have to accomodate a mangled imp on the other side of the world after his pub hours - hey, I am willing to sacrifice a bit! :p
I have a tendency to wear my heart on my sleeve - I have a history of taking off my shirt.....