MLBTR did a great breakdown of what draft picks each team will lose if they sign a QO FA (Jake Arrieta, Wade Davis, Lance Lynn, Eric Hosmer, Mike Moustakas, Lorenzo Cain, Alex Cobb, Greg Holland, and Carlos Santana):

https://www.mlbtraderumors.com/2017/...ree-agent.html

The Braves will only lose their 3rd pick, which should be around pick #80-85 (Phillies' 3rd pick last year was #83).