You are half right, by my thinking.
That mob of cops is going to cause the bad guy to do something really rash. After all, he is a nut case.
But too many cops nowdays have the military mentality.
What I would do is the same thing a hunter does when he wants to shoot groundhogs or the like.
You become invisible.
I would send everyone home. I would then make a very sad announcement on TV, as I understand he has one, that the guy has in some way escaped. “He is a really smart guy, a survivalist, and he has in some way eluded us.”
I would post a sniper with a heat imagining scope at its maximum range from the entrance, behind the entrance, not in front of it.
Just as you would when shooting groundhogs.
He is so sure he is smarter than the cops that he would go for it and attempt to exit during the wee hours of the night.
It might take a few days, but he would eventually come out.
If I am wrong, so what. Nothing is being accomplished with the present tactics.
I think your plan is a great one. But lacking in good TV drama.