This sawmill charges �18 per cubic foot for cherry wood green.
http://www.thetimbermill.com/Sawmill.htm
That is to say sawn to boards but not dried etc.
So they'd have to collect the tree and saw it all of which costs a certain amount.
I guess a lot depends on how big 'huge' is in your book - I assume it's not coming down because it's rotten.
Possibly worth phoning the odd timber mill if there are any near you - I doubt you'll be rich but you might get it taken away and something towards the cost of removal