Need Advice!!

Hi guys, we are a family from Hyderabad planning to visit Srirangam, Madurai and Rameswaram. Our plan was to complete Sri Ranganathaswamy darshan today and start for Madurai tomorrow via a daily train and reach Rameswaram by tomorrow evening. But today we were not able to complete Sri Ranganathaswamy darshan. So we are confused now ! Can we complete the darshan tomorrow morning and goto madurai and complete Meenakshi Amman darshan and reach Rameshwaram by tomorrow night? If yes can you also share the travel options? My uncle is saying to skip Ranganathaswamy darshan tomorrow morning because we have booked tickets to Trivandrum from Madurai Day after Tomorrow night and they don't want to miss darshan at Rameswaram at any cost!! Please Somebody help me in this!!