Here's a way I'm able to keep my yellow groove from taking up more space than I want it to. I simply used a shovel and dug in a circle around the grove, and the shovel which can get down 8-10 inches goes well deeper than the rhizomes grow, at least so far. I could turn these into new divisions if I wanted to, but yellow groove is so common around here so I'm not too concerned about them. I'm also going to spread a layer of mulch before fall to cover them up completely.
I'm not sure if aerial rhizomes store energy, maybe, but I'll probably cut them all off right after new shoots leaf out. This is a pretty thick grove so the rhizomes grow pretty far, but digging around the grove annually seems to be enough to tame it.

In your situation, you may need to dig a trench and give the bamboo a couple feet of space between the fence and edge of the grove. Barriers work however the rhizomes will continue to try and find ways to escape, and may eventually puncture the barrier. I think if you go with the barrier, I would suggest having the barrier at least 1-2ft away from the fence so that you can catch escaping rhizomes much easier.
Here's my other form of control, however this also gives me some easy potted divisions which become well established plants once they generate true shoots in the pot.
