First, that's a very narrow space for almost any bamboo. You should not go with P. nigra, because it is a running bamboo and you would need to install barrier on all sides (at the fence line, at the edge of the slab, and on both sides. If you are going to plant bamboo, you should stick with a clumping bamboo as it won't need a barrier; it should also be one that stays on the small side. My Zone is colder than yours, so I'm not familiar with the types of clumpers that are suitable for your Zone...maybe a Bambusa, a Chusquea, or a Fargesia. Rather than make a specific suggestion, I think you should go to a local bamboo nursery and ask them for suggestions for a bamboo with the following characteristics: clumping, short mature height, and upright habit.

Thanks kudzu! I know of a place close by.