No volume,
No mill is going to send a truck out for one tree. There is no money in it as Jolly Logger alluded too. There is also the factor of trying to get the truck in without damaging the yard or septic, and room to operate the grapple without interference from power lines or other trees.
You may advertise on CL once it's down and someone with a portable mill might show interest but isn't going to pay much. The logistics of getting it out or equipment in without tearing the yard to shreads is always an issue. Most professional services will put down a rigid ground cover to protect the yard and minimize damage.
The value in raw wood products is not large be it firewood or saw logs. The money is in the processing to achieve the final product, not the raw material. I see this all the time. Will look at some land clearing, tree removal, or top cleanup jobs and people think they have a gold mine. I just looked at a job removing 50 cord of tops. Landowner thought the wood should bring $12,500 because seasoned CS&D is selling for $250 per cord. He couldn't understand tops sell for $10 - $30 per cord depending on quality. In short I was a thief.
One last thought, should the tree be taken down, and you make arrangements to sell the wood, make sure there is a very clear understanding of who will be responsible for cleaning up the mess. Even if the removal company chips and hauls the brush, there will still be a lot of debris and sawdust generated no matter how the remaining trunk and limbs are processed.
Take Care