May I suggest Who Killed Palomino Molero? by Mario Vargas Llosa?
Here is what the blurb states: “This wonderful detective novel is set in Peru in the 1950s. Near an Air Force base in the northern desert, a young airman is found murdered. Lieutenant Silva and Officer Lituma investigate. Lacking a squad car, they have to cajole a local cabbie into taking them to the scene of the crime. Their superiors are indifferent; the commanding officer of the air base stands in their way; but Silva and Lituma are determined to uncover the truth.
Who Killed Palomino Molero, an entertaining and brilliantly plotted mystery, takes up one of Vargas Llosa’s characteristic themes: the despair at how hard it is to be an honest man in a corrupt society.”
Who Killed Palomino Molero? was first published in April 1986 by Seix Barral. 192 pages. ISBN: 84-322-0542-7. I read it back in June 1986, reason why I could not use it for this Challenge.
See comments by Bob Corbett here