...and the rest of the hostage takers are interspersed through the city, I presume?
I would get those bombers airborne, strap on a tactical nuke, make a few passes over the Chechen "capital", and let these terrorists decide the fate of their people.
I assume Checny must be Russia's main source of oil, else they would have nuked those losers, or built a barrier years ago.
The world will realize it soon enough; it's us or them.
From what I've seen of Grozny, it would be hard to tell the damage from a nuclear weapon. It's pretty much a pile of rubble at this point.
Problem is such: Grozny is Russian city and much of the peoples there still Russian. Chechin slavers come from south mountains and mountain sides villages...now those I say should be leveled. In Russia 10% Muslims, convert more NOW, then Nuke Mecca...say 20 20 megaton bombs to make it such the hole that nothing ever exist again.