I think it is designed so that you don't have absolute control over the draft. If it did, then teams would deliberately finish 8th so that they could have the 1st pick.
For example, 12 teams in my league got their 1st pick. If everyone knew the top players for sure, then the teams that drafted last would be getting their 6th or 7th pick as their 1st choice.
So moving up to D.III you may want to increase your scouting to 2 or 3/week. Since you started in the middle of last season, quite a bit of your scouting would have been the minimimum amount given to all teams.