I'm still pulling out growth from every one of three places I've tried in the garden before finally banishing it to a bank above a creek outside my fence. I find it as persistant as loosestrife, though very easy to remove. It has to exhaust itself eventually so long as I'm vigilant.
I'm in Zone 9b, not so different than yours. I'll bet you can grow it.
Mark in California
Q: "Do you ever sit down?"
A: "All the time until the urge to 'play' some more becomes too strong."