I have been dealing with a lot of dead Ash in my area also. I leave it standing and once the bark starts to come off I give it a hand so it doesn't hold moisture (rain run off). A simple pole with one end sharpened is all it takes.
I only cut up the stuff that comes down in wind storms and during one storm so much came down I would not be able to burn it in 2 or 3 years. I built some 4' high 8' long racks on my equipment trailer and sold a bunch from my yard. Even in the spring I had people wanting fire pit wood.
Al