OK here's something really easy to try.
Try placing a fan at your cold air returns blowing down into the basement. Doesn't have to be much of a fan. By blowing the cold air down, it will naturally suck the warm air in. Works a lot better than trying to push hot air.
I went through this with my sister in law trying to get air circulation in her 2 story ranch sitting on a slab. But she is a polish blonde and can't/won't take directions well. Same thing with my stepson. we were trying to move the hot air and it didn't work well at all. Once we reversed the flow and concentrated on the cold air, it worked much, much better. It don't make sense but it works. (Actually cold air is more dense so it can be pushed easier )
You will find out that with coal it takes a lot longer to heat up a place than with wood. But with coal, slow and steady is the way to go. Most wood burners take a while to get used to that. Most of us used to be wood burners so we know. Wood is great for the ability to throw a log or 2 in the burner, open up some draft, and in 10 minutes you can feel the difference. With coal it takes longer. I used to have a huge wood burner furnace in my old shop. I could come in the morning start a fire and have heat within 15 minutes. With coal it takes me 2 hours to bring up the temp. But once that stove gets cranking, it will produce for hours.
There's a lot of good advice giving folks on here. Especially that old farmer from freetown who has a stove just like yours. You will have to start making minor changes and give it time to see if it works. If not we'll try something else but we will get it nailed down.
Now in your spare time, cut some more wood and sell it so you can buy some coal.