ISO Rent for the '24-'25 Academic Year/Swap for Princeton University

We are retired academics looking for a furnished place (2-3 bedrooms) that is under a 20 min bike ride to Stanford University. We are coming for 9-10 month to the Stanford DCI program. We can either rent in Palo Alto or Menlo Park from September '24 - June '25 or swap with another academic coming to spend the year at Princeton University or at one of the companies nearby Princeton, NJ. We have a beautiful 4 bedroom in Princeton, close to campus, available for part of/all of July '24 - Oct. '25.

Many thanks.