Raising a high-card hand with no draw on a board that favors the preflop raiser is a significant error that burns chips.
Raising here is a massive mistake. We have zero equity against a continuing range and no real draw to fall back on.
Note: Raising with pure air on a board that heavily favors the HJ's range is a high-frequency error; we have no draws and block the hands HJ would most likely fold.
After the flop raise is called, we pick up a gutshot. While betting is mixed, checking back to realize our equity is often safer.
Note: Sizing is too small for this texture; if we choose to barrel, we should use larger sizes to pressure HJ's marginal pairs.
Checking back is the only play. The board pairs the Queen, and our hand has zero showdown value but also zero fold equity against a range that called two streets.