That could be pretty exhaustive list for some people.
How about: The Blind Dare!
Instead of requesting a dare, you could request a blind dare. When you request a blind dare, all currently open dares are revoked, and nobody can request a dare anymore until you completed the requested blind dare.
Advantage: When requesting a blind dare, you are guaranteed to get the power, as all other dares are revoked.
Disadvantage: Blind dares are mandatory. When you request a blind dare, you must complete the dare.
Exception rules: You cannot request a blind dare right after losing the Power. If player A gives the power to player B, then player A cannot request a blind dare, until player B has given the power to someone else. You also cannot request a blind dare when you already requested a normal dare.
Would the "blind dare" have enough of an advantage that people would take it on occasion? Of course, people that take a blind dare need to add a basic list of offs to their character sheet, unless their own O/O list is rather detailed. Likewise, a "blind dare" wouldn't be for everyone. I personally would never take one.
Alternatively, you could use the Guests and Servants idea, but have everyone start as guests, and have people become a servant as part of a dare or similar option.