Platform that will allow a week 14 draft date

I have two 10 team leagues where the best two teams in each league were to join a new league, draft, and immediately be in a playoff bracket to determine the champ. I thought I could do it all in ESPN, but I appear to have been wrong. Do you know of a platform that will allow a league to be created and draft that late?

So far I found that Sleeperbot and FleaFlicker will