This is among the non-set boards that should be good for you, you are behind overpairs, and ahead of all non-pair hands, yet still vulnerable to redraws. I think the benefits of raising outweigh the risks, especially if you think this large 3-bet pre is often "light."
So I am going to reclaim the initiative and raise to 40BB or so. This will really force villain to think how much he wants to chase a pair draw. I don't mind picking up this hand here, our hand is middling enough were it's hard to get called by less anyway, yet the pot it big enough where it's worth trying to pick this up without a contest. Especially if we think villains have a lot of air here. I will probably give villain credit for a hand if he finds a 3-bet, and I will re-evaluate the turn if villain calls.
To see the future. I am raising the flop to either win now or set up a check-behind on the river if villain continues. If villain calls and checks the turn again, I am probably going to bet 50 BB into anything that isn't an AKQ, otherwise I likely check behind. I am surely going to check most rivers behind since this hand can't get called by worse unimproved, and being called on two streets probably means he's also stationing.
If villain takes the initiative back by either betting the turn or river out of flow, I will have a tough decision.
Another way to look at this is decide to station now, and only fold against scary runouts. This is probably a lower variance approach, but it's conferring a lot of benefit of position to the villain as he is setting his own price to draw if he doesn't have it. So he is giving himself the chance to win by betting or by improving.
But I think raising the flop now instead of floating through the final two streets is good. In Blitz, I don't think you can put a flop 3-bettor on a bluff without the history Blitz doesn't provide, and surely you are far from top of your own range here, this isn't a spot you have to go overboard defending.