Mayapur railway station

Nabadwip Dham, then a boat across

The cheapest and the most predictable way: the train ignores the traffic on NH12, and the last part of the journey is a river crossing rather than a road.

Best option

Buses from Esplanade and from ISKCON

Regular coaches run to Krishnanagar and Nabadwip; on weekends and festivals ISKCON Kolkata puts on direct AC buses from Minto Park, which need booking ahead.