As was stated by Mark Bowman, the Braves could add an infield bench bat that bats left-handed in August, rather than at the trade deadline. That remains as the last need for the team.
Post-deadline, many teams put a lot of their roster on waivers to gauge interest. However, if the Braves see a player that they wish to acquire, then they may be in a bit of a fight with other teams to acquire that player, as the order in which teams go in to claim a player on waivers is organized from worst record to best record, so the Braves are at the bottom of the barrel, there.
However, should the Braves put any players on waivers to gauge interest, just for the heck of it? For the heck of it, put Jose Constanza, Cory Gearrin, and Tyler Pastornicky on waivers to gauge interest and see what comes of it.
Personally, I'd look into claiming Mark DeRosa--he's due $750K this year, and has a $750K option for next year, with a $25K buyout--little risk with large upside.