Invoke ReSharper for the rename if available.

[JohanLarsson]

protected override Action<ITextControl> ExecutePsiTransaction(ISolution solution, IProgressIndicator progress)
{
 return (Action<ITextControl>) (tc =>
 {
 string str = RenameRefactoringService.Rename(solution, new RenameDataProvider(this.myElement, this.mySuggestedName), tc);
 if (str.IsNullOrWhitespace())
 return;
 BulbActionBase.ShowTooltip(tc, str);
 });
}

Roslyn rename is pretty much break code as a service.