Bughouse chess tournament pairing software? Does anyone know of a (free) program which could be used to organize a bughouse chess tournament?

Where in each round the partner you have would change. (With the basic idea to put a good and 'less good' player in the same team.) The good player would be defined as the one with the most bughouse team wins.

Or how should I try to manage such a tournament? Any ideas?
There is no pairing program which can do what you want. No program exists to change the partners every round according to the previous results. Pairing programs also try and avoid pairing players or teams which have played before. 

Exactly how the partners would vary and how you would decide who had played whom is not clearly defined in your system. Your idea needs more work.