I have confirmed that the little cloister near Torri, also south of Siena, is indeed open on Fridays. Plan 1: meet at the piazza in Torri at about 930am on Friday May 30, then go to lunch at Cateni in Orgia. Plan 2: meet at Cateni in Orgia around noon on Friday May 30.

The piazzi in Torri is very small &sweet, with room for about 5 cars. The path to the cloister is right off the piazza.

The map available at the Siena tourist information office shows both Torri and Orgia pretty clearly.

Gail In Eugene