Ash and Black Cherry will be basically all I'll be burning this season, love the stuff! Not the highest BTU, but still quality in my book. I've got a little Black Locust to use for the overnight burns, but otherwise I'd burn ash and cherry almost exclusively if I could. Makes just the right amount of heat for our home layout and I'm already used to the timing intervals of tending the firebox.
Don't see much mulberry around these parts, if any at all. I know you're not far from me, but I almost never see it! Would like to try, have never burned it before. I hear it needs time like oak to dry, but is very dense and makes good smoking wood.