I've taken a (admittedly very crude) crack at this, and come up with 107 points as a "worst case" at the conclusion of week 4.
Here is my spreadsheet, where I took 102 slots (?) for MSC, subtracted the 14 teams already qualified via Chairman's or what-have-you, leaving 88 spots. I then used the max amount of points any single team earned at their first comp (76), and added that to every team who hasn't played a second time, and as both event scores for the teams yet to play at all. 106 points would leave you right on the bubble depending on tie breakers. This is viewable when you use the second filter view.
Obviously every team earning 76 points at their next competition isn't at all realistic, but it's early in the morning and I should be sleeping, so a more realistic set of criteria will have to wait until later.