Submitted by Eric Poolman
Think this works:
Privateer uses its Baliset to disengage the Physician before subduing itself to disengage Carthag, converting at least 1 solari to favor with Tithing Clemency elimates the concern for the favor loss from the Privateer; even after that solari and paying 1 solari to deploy the Privateer you net 2 solaris per rep... and run it infinitely for both favor and solaris.
You can run it as well with the Arrakeen Patriarch -- and infinite times the 1 solari net is still infinite.
My opinion: balisets should engage themselves along with the bearer.
Making a deck that pulls this out in the first three turns wouldn't be too hard -- but you might sacrifice so much in terms of ability to do anything else that you'd lose despite the inifinities; Dune is about spice, after all. I haven't figured out how to make an effective deck from it.