You can't predict who White Danny would eventually hire, but I'd suggest looking at successful coaches and program builders/maintainers sitting in conferences which are crumbling in around them, offering them a chance to come to the SEC rather than wait for their current employer to decide what they are going to do, along the lines of Tommy Lloyd at Arizona or a Scott Drew at Baylor, Dennis Gates at Missouri, long time assistant to Leonard Hamilton would be a possibility, but he just signed a significant extension this week, Jerome Tang, Kansas State, longtime assistant to Scott Drew would be a possibility.
Barnes coaching tree from his tenure at Tennessee isn't proven enough to come back to Tennessee yet, but the Texas interim, Rodney Terry, might be an option depending on what happens down there.
Barnes is in the twilight of his career and you would hope Danny has a list in his pocket, Barnes is a program builder and brings a significant amount of stability to a program he builds, but his post season record is tepid and his teams have inexplicable shortcomings and wholesale breakdowns in clutch moments during the regular season and the post season, but that was a known propensity when Nike steered him to Tennessee when Texas fired him in 2015.