Your not going to generate enough heat from the ambient air temperature around your furnace, unless it is truily very old and inefficient. Since I've only used my own air dried wood for some time now, it is more important to have good air circulation in the area that it is stacked and stickered. I use an area in an unused garage bay.
Don't rush it, you'll be surprised how fast the time go's by doing other projects. I have a stack of black walnut from 12 tree trunks I stacked 3 years ago, meant to make something last year from it, still havn't touch it yet.