Train plus cab would not be impossible.
I once went to Muroji, an out-of-the-way temple in Nara Prefecture, and as I got off the Kintetsu station Muroguchi, there were two cabs and a bus waiting. I had been talking to some Japanese people on the train, and we all decided to take the bus, but I was surprised that there were cabs at all.
The Japan Guide website suggests train plus cab, in fact.