I see this subject coming up occasionally so took some pics of my rig.  Not a bicycle but this might give you some ideas if you want to take your longbow on either a bicycle or a trail bike/Rokon.  3" ID., PVC tube with end caps.  One glued on and the other pinned in place with a homemade pin.  I also glued some foam in the caps for further protection.  I also had to sand the tube where the loose end cap goes on as it was too tight.  This tube will hold 66" bows and can handle either a D bow or an R/D.    

Nice setup! Now show us how you do that with a recurve  

Cool set up

I don't need to carry recurves   :rolleyes:  - the only one I own is my carp bow.  Anyone else having a problem seeing the pics?  They came through fine for me.

I can see them. I have been taking a date when I rode my bike...I should have thought about this on my own. She has a hard time holding the longbow on the Panhead, but she can manage on the Rocket III. I can't let her see this photo, or she never go with me again.