This is my method as well. The last time I worked with larger pieces of wood was when a local reptile shop was remodeling and getting rid of some stuff. The only difference is I hung my pieces from my patio awning.. whatever that thing is called, after I sprayed them down. Left them hanging for a few days in the GA heat in the the middle of summer, and they were good to go.
Now of course this was wood meant for reptile tanks. Hedge clippings make me a little nervous because typically hedges are in flower beds up close to the house, and get sprayed with weed killer or something meant to keep unwanted plants from growing in those beds. If your neighbor doesn't spray though you should be fine, I would just double check.