I have a Granberg Alaskan Chainsaw Mill, as well as their Mini Mill (which is cheaper and the only thing you need for sawing beams or a piece like this mantle). However, I use a 77cc chainsaw, because that is what's required for milling (and many people go even bigger). I also use rip chains. You will most likely melt down your little Husky if you attempt to use that saw for such a long (time wise) set of cuts. It will not cool quickly enough, and it's not a pro saw that can handle repeated long cuts.
As far as drying, do not expect quick results if you want to do it right. A piece like that is going to need to air dry for a few years. The only way to accelerate it without wrecking the wood is to find someone with a kiln who knows how to use it.
Not trying to rain on your parade here, but you're heading in a direction that will trash your saw and leave you with a big warped piece of green wood.