Don't care what day the draft is, but would prefer it not to be on Saturday night if given a choice. That's pretty flexible. And if it is, doesn't matter I'll just set up my pre-draft and hope for the best.
I'm not available during the day on Saturday (I'll have a queue set up for yahoo) or all day Sunday but I don't have a problem with setting up a queue for the ESPN league. Of course I prefer not to, but if sunday is the best day, no big deal. I'm available all other times.