If I were the GOP, I would run Troy Balderson. Ohio as a whole is trending R, but assuming Balderson hasn't lost re-election in 2020 or 2022, he'd show that he can appeal to D-trending suburbs. Brown's probably going to lose in 2024 anyway.
I'm not sure Balderson has any marked appeal in D-trending suburbs; he won because the district is mostly not D-trending suburbs. In Delaware County, the most suburban county in the district where there's comparable data (Franklin County would be better but I can't find anything that breaks the other results into congressional districts), Balderson got fewer votes than all but one of the statewide Republican candidates and the state senate candidate.
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