It looks like the AA 2013 Toronto Blue Jays were closest in record at the trade deadline (49-57 record) as the Braves are now. This is what AI had to say:
In July 2013, the Toronto Blue Jays did not make any trades before the non-waiver trade deadline, choosing instead to "stay the course" with their existing roster
- Betting on the future: Despite the struggles, general manager Alex Anthopoulos likely hoped for a turnaround in 2014, given that many of their key players were still under contract beyond 2013.