I am most def not raising this turn.
His barreling range will often consist of hands that bet-call or bet-shove instead of bet-fold.
He can have plenty draws and even if he has KT / AT type hand he'll expect us to have a turned draw.
Add to these arguments that we have practically zero backdoor equity and I am just not putting 44 into my turn bluff raising range
As for your question, once you raise turn you'll have to go with it and rep the set / 2pair. w/o history villain might look you up relatively light (Tx) for information. You rep a pretty polarized range and if I'd be villain I'd look you up (w/o history) on all rivers except clubs and Ax.