I assume ozomatli would agree, but since we know the final round 1 standings, it seems to me that the season selection can begin at anytime. Once your group's season has been selected, that group's player draft can begin. I would recommend starting a separate thread for each of the six drafts.
Some tips since I've run these drafts many times...
When you make your selection, you should list the player, his salary (this is critical especially for players with partial and combined versions) and your team's total cumulative salary. Then site-mail the next person due up.
At the end of each round, the person who ends that round should list the draft order for the next round (with salaries). It's often helpful to have one person keep track of the picks with either an alpha list or a grid showing each team's picks by round.
See example