My manual states not to connect the blower to a duct work set up. I would think this to be in the case of combustion gasses and not allowing them to be blown through the duct sysytem....
I would use the blower on the stove and run a duct from the main living area to the basement letting the cooler air naturally drop which will allow the hot air blowing off the stove to rise and supply heat to the main living space, replacing the denser cool air.
You may be able to use a small online fan to help move the cooler air towards the stove.
Yes, I saw that warning too but I interpreted it referring to your HVAC forced hot air system. My thinking is that if I have combustion gases leaking out of my stove, I have a dangerous situation regardless of hooking up a blower or duct, etc. That's what my CO detector is for. Or are you thinking that the negative pressure of a blower could actual suck combustion gases out of the stove, that would normally go up the flue? How many psi are we talking about here? I was picturing a pretty benign flow rate, like a computer fan.
One more question - how wide is the blower assembly? I have about 8" clearance between the rear of my stove and a cinder block wall.