To be honest I doubt it was a Commanche either,modified or not it`s very unlikely it would have been used as the project was shelved in 2004.
The Apache would be the most likely gunship to use,if indeed gunships were used.
The crashed aircraft is almost certainly a modified Blackhawk,which is the backbone of US Military services and comes in many different versions,and it`s no surprise to me that one for use by Special Forces has been developed.
It did strike me as odd that such a large section was left of the tail,maybe we were meant to see it.
It is embarrassing for the Pakistan Government that the aircraft weren`t picked up on radar,but the fact is the heli`s almost certainly flew low and hid themselves in the mountainous terrain.
The BBC seem to think that all is required is a tin of silver paint! Top notch investigative reporting from the BBC again