Petra and Sant Salvador
Petra is a good destination for lunch, having a popular central square surrounded by cafes. It is 25 miles from Pollensa, making that a manageable distance for everyone in the club. From Santa Ponsa, it is a full ~100 mile day out, but on pleasant lanes across the central plain of the island.
For the fit, athletic types, the Sanctuary de Sant Salvador sit on top of a peak, about another 20 miles south of Petra, making Petra a good coffee stop on the way out and back.