Friday's trip to
Dazaifu will not be 'organised' but if you want to travel as a group I suggest the 11:00AM train from Nishitetsu Fukuoka (Tenjin) station. The station is connected to Tenjin station on the airport subway line or a short bus ride from the GH. We'll need to change at Nishitetsu Futsukaichi station to
this train for a 7-minute ride to Dazaifu. The fare is 400 yen one way and you can use a Suica. The Northern Kyushu Rail Pass is not valid for this trip.
Nishitetsu Fukuoka (Tenjin) station - dep. 11:00
Nishitetsu Futsukaichi station - arr. 11:14
Nishitetsu Futsukaichi station - dep. 11:22
Dazaifu station - arr. 11:29
In addition to the Tenmangū shrine itself
Japan Guide
and its ground
Japan Guide
there are some temple gardens worth visiting (Kōmyōzenji)
Japan Guide
Japan Guide
and the Kyushu National Museum is also recommended.
Japan Guide
Also there is an architecturally unique Starbucks on the way to the shrine.
How to travel between Fukuoka and Dazaifu (Japan Guide)
Map of Dazaifu
Japan Guide