What's the best place to view Fuji-san within a train ride of Tokyo (and not on the Tōkaidō Shinkansen)?

Previously, I tried going to Kawaguchiko (from Shinjuku station via Chuo line and then Fujikyu Railway), but the day turned foggy and we were stuck in a what seemed like a boring small town with nothing to do but try the local noodle dish and head home.

Any advice appreciated.