Sonny Gray is actually the one guy on this list that feels like an actual possibility for the Braves and signing him would be a huge win for Atlanta. Gray isn't the flashiest of pitchers, but the guy just puts up results every single year.
In 2023, Gray posted a 2.79 ERA and 2.83 FIP with the Twins, made his third All-Star team, and helped Minnesota finally win a playoff series before they got bounced from the postseason by the Astros. If not for the season that Gerrit Cole had in New York, Gray would probably get a significant amount of Cy Young love as well.
On the plus side, Gray feels more in line with the deals the Braves prefer to do with free agents. He is 33 years old and has already talked a bit about looking forward to his retirement, so he would likely be amenable to a two or three year deal (maybe with a player option thrown in there somewhere) at north of $20 million a year. He has already been mentioned as a fit for the Braves by others and it is clear to see why.
Unfortunately, good pitchers that won't require a huge investment in terms of years are on basically every team's wish list during the offseason. The Twins would probably love to have him back, the Cardinals are going to need multiple starters this offseason, the Orioles could absolutely use a guy like Gray...the list goes on and on. Gray feels like a realistic target for the Braves, but it is still going to be tough to pull off.