Hell yeah, I'd put my stack on the line with the flopped boat and 2nd nut low draw. A277 or A377? Well if he has that then nh sir.

You'd still have one out for quads, anyway.

As I said, I don't have even a moment of regret losing my stack on a hand like this. Even a tight player will make this play with many hands that I lead; his range to play the flop like that is very wide... probably the low end is something like A27 or A2cc, either of which I'm happy to go to war with. Also important is the fact that his high end isn't as terrible as it could be--even if he has a better full, it's unlikely that my low draw isn't best. He has to have A267 or A277 to have me in disaster situation, and that's not happening often enough to find a flop laydown of A366, which is the only reasonable alternative to getting everything in on the flop.