As a retrospect i must admit that i should have limited freezes.
number of freezes allowed should depend on the allowed creature list (i dislike allowing most non recruitable ones).
Also when i did the CT i was also considering reversing the allowed thing. Allow all creatures in the beginning and keep taking them out in quater-, semi-, finals
As to dropping badge, i guess nullifing ally effects can easily be added to the BHC system :)