Here’s a “date course” idea: On a bright, sunny winter morning, head out to “Futamata Kyo” (二俣橋; Futamata Bridge) in Misato-cho. Be sure to get there by around 11:30 so you can find the right spot.
http://www.asahi.com/national/update/0127/SEB201201270005.html
By the way, the newspaper article (Asahi, in Japanese) alludes to the Japanese expression “futamata o kakeru” which means to two-time your lover. The character for “mata” is different, though, so no worries.
Here’s a link to a map: http://goo.gl/maps/56KQC