Minimum Game Played and Points Earned for League

My league has exspressed interest in encouraging manager engagement by creating games played minimums and/or minimum earned points for our league.

Basically if you fall below a certain threshold your team would be given to a new manager. The info for our league is below. Any one do anything similar and are there suggestions for what these minimums should be (if any at all)?

12 Team League

Number of Playoff Teams: 6
2-Week Semifinals: No
2-Week Championship: Yes
Scoring: H2H FanGraphs Points
GS Cap: 9