Why Jesus did Jesus so often heal in synagogues?
My article explains that synagogues functioned as a hostel or community center of sorts in ancient Jewish society. That is, those needing healing would seek out such services and resources at the synagogue. And Jesus went to where there was the most need.
Read more at The Role and Purpose of Synagogues in the Days of Jesus and Paul, Interpreter: A Journal of Latter-day Saint Faith and Scholarship (Volume 34), pp. 41-52. November 1, 2019.