I have liked Avdija for a long time. He has a super high BBIQ, is an underrated playmaker and secondary ball handler, rebounds well for the position, can score off the bounce for his size, and is an improving outside shooter. In his first season as a starter he put up 15/7/4, shot 51% FG, 37% 3PT (on only 3 attempts per game though) and 74% from FT (he will fit right in). He did that all on 19% usage, clearly operating as a third option behind Kuzma and Poole, and often sharing the third fiddle role with guys like Tyus Jones and Danilo Galinari/Marvin Bagley.
He is at least a willing defender. He certainly isn't a stopper, but he uses his BBIQ to play good team defense. He is 6'9" but not very long (wingspan is 6'10") so he profiles as a similar build as HB. He is only 23 and locked up on an extension. As an example of his defensive willingness, he had the best defensive rating of any Wizard to play at least half the games with the Wizards. While his defensive rating of 116.2 is not very good, keep in mind that he played on a terrible team and looks like a lockdown defender compared to his teammates who played 40+ games in Washington:
Avdija- 116.2
Colulibaly- 118.4
Shamet- 119.2
Kispert- 119.4
Poole- 119.5
Gafford- 120.0
Kuzma- 120.8
Tyus Jones- 122.5
If you could convince the Wizards to trade Avdija and matching salary (one of Kispert, Shamet, or Johnny Davis) for Huerter and #13, I think you do it. Start Avdija, bring Barnes off the bench. Avdija provides another good secondary playmaker in the starting lineup, and a guy who can get his own bucket.