[DarthIgnurnt]

First ... what exactly do you mean that you have this board completely covered?

You're holding the 3rd nut hand on the flop. You're blocking your own full house draws, and you're not blocking any of the multitude of draws you are likely facing ... let alone the made straights that are already on the board.

What hands do you think are calling you here? Two flush draws? Set of 7s?

I don't like the preflop raise from the BB. You likely won't thin the field much (and here, you didn't), and why build a big pot with a mediocre hand like this? Even with the tight post-flop play you suggest (which by the way surprises me), this is not a winning long term play. This flop hit you almost directly in the face but you may still be behind.