I am curious how you understand “Church’s infallible teaching”. Are you saying that any teaching that is not an “infallible dogma” is insufficient to meet your needs?
Our texts were mainstream teachings of the Church, the Scriptures, the Catechism of the Catholic Church, and Father Kevin E. McKenna’s A Concise Guide to Catholic Social Teaching which summarizes papal encyclicals and statements of the U.S. bishops.
I have to confess that I found this text quite refreshing. Although I don’t agree with all of Fr. McKenna’s conclusions, it is an excellent collection and summary of the relevant church documents. It is, as the OP noted, of importance, apolitical in that it does not espouse any particular system, party, or platform, but gives a very accessible summary of how Catholic values can, and should, be lived in any society/governmental system.
I think the OP was quite clear he does not want to discuss it.