Hello Karl .
I recently converted my boat to a junk and I used bamboo for battens . I have a sail area of 23 m2 and I used bamboo from 3 until 5 cm diameter . Which is on the sturdy side , but they're not heavy , though , and they barely bend .
Since I'm rather new to junk sailing , time will tell how it works out for me , but I think , since you have not such big a sail 3 cm in diameter would be good . If you can lay your hands on it , try to get Guadua bamboo , it barely tapers and is unbelievable strong .
I drilled holes at the fore and aft end where I put a bolt and a piece of chain and afterwards I put on a whipping to prefend that it splits , but I guess that a hoseclamp would do the trick as well .
If you're going for bamboo , go to a bamboo chandler and handpick your battens because no bamboo pole is equal ( don't know in which part of the world you live , but in the Netherlands there is a bamboo import company , but that'my luck )
If you have still questions , feel free to ask
Good luck , Johan Uil