With the Furnance type stoves, they push the air from the bottom over the stove and up the duct work, and have a fire box that the air blows around to capture the heat, so you have less radiant heat around the stove.
The LL is a single wall stove, but with the heat jacket, you would have to put a Inline Duct Fan to PULL the air up and over the stove and remove the built in fans.
However, Depending on the location of your LL stove, you could put a hole in the top cover of the stove and duct it somewhere, but you would have alot of radiant heat around the stove, (as in my case, but it helps heat the basement too!) I cut a 8" hole in mine and ducted it upstairs using the built in blowers and works actually quite nicely with the CoalTrol (Added), you can adjust the air flow and heat from upstairs.
My hyfire I: http://nepacrossroads.com/download/file ... &mode=view
A couple different ways of doing it depending on what you want to accomplish.