When it comes to finding synonyms for the word "backhandedly," a few options come to mind. One possible choice is the phrase "indirectly critical," which encapsulates the idea of criticism that is delivered in a subtle or sly manner. Another option is "insincere compliment," which refers to the act of praising someone while also conveying a negative message. Along similar lines, "left-handed compliment" is a phrase that denotes a compliment that is actually meant to be insulting. Finally, "passive-aggressively" is another term that can be used in place of "backhandedly," as it conveys the same sense of subtle hostility or negativity.