Get yourself a chainsaw and drive around the neighborhoods - storms can be your best friend.
Make the arborists and tree-cutters your friend - a few well place bowls with your phone number on the bottom can bring calls.
Also, find out when bulk-trash pickup is scheduled in various areas - people try to schedule accordingly.
If I'm not mistaken, walnut, cherry, maple plus others are common.
Also, there is probably a firewood lot in the area - tree cutters will dump to avoid driving longer distances to municipal dumps.