If you are looking for more heat upstairs, this is how I have done that.
Hope this makes sense. Not as complicated as it sounds.
As summit and urkiddin mentioned, floor registers will be best. You need a cold air return as well.
I have the stove in an unfinished, uninsulated basement. 2 Floor Cape (about 2000 living space) above the basement.
No duct work as all. No floor registers yet.
Here is what has worked for me using only the staircase. Which is shortwalled at the top of the staircase to boot,
thus hindering the airflow dispersment a bit.
So far, I have
1, Removed the basement door for the winter (it was in the way being wide open all the time)
2, I have drywall on the stairwell studs in the basement. I cut about 4 foot long (3 studs length), 2.5 foot tall piece at the top of the wall,
closest to the door upstairs.
3, Put a small fan near the top (3rd step from the top) where the cutout is facing INTO the basement, running on low. Thus creating a cold air return.
The hole I cut last weekend was the last thing I did and that boosted the 1st floor by at least 4 degrees.
There was already a small hole at the top step where I had the fan, but creating the larger area for heat to pass through and rise really made a difference.
Where the fan is, I can feel cold air being sucked from the first floor and only a foot or so above that warm air is moving upstairs.
Floor registers are in order here for me, and insulating the walls next spring or summer will be done for sure. Yours being finished,
it is probably insulated already, that's a big plus.
I learned here on the forums the importance of a cold air return and using a fan to blow low and INTO the basement.
You cant "push" the heat up with a fan, but you can push cold air down which will force the heat up.
This is my learning year and so far the 4 x 2 opening with the return has been the real key for me.
Right now, I can get the first floor to 68-72 easily and the second floor (bedrooms only there) around 62 during the day.
About 8-10 deg cooler 1st floor and 4-5 deg 2nd floor at night when I turn the stove down.
Geno
edit: the top of the stairs is now the favorite sleeping place for one of the cats...nice an warm there