With those low of ceilings you don't need a ceiling fan. Get a fan on a stand that you can angle up more than 45 degrees and aim it towards the center of the room. You can use a floor fan as well, just a decent sized fan. Don't have the fan raised too high as your blowing the cooler air up and forcing the warmer air to circulate and warm the entire room temps. You don't need to run this fan on high, rather the low setting uses less power and does the job without creating the drafty feeling. You'll notice a warmer house without cool spots.
Mr. Patrick, can you see the 12" oscillating fan on the mantel to the upper left of the photo? It takes the hot air up high, and blows it into the living area to the right of the pic. Do you think a floor fan beside the stove, blowing the air "up-wards" would be beneficial? I once had a floor fan situated next to it, "along" with the mantel fan, but the wife complained the floor fan was making her feel cool. Maybe I should try aiming it up?