Alex
It sounds like you are very busy. I think you have a sweet stove and I don’t think you should sell it or give up on it. The prices of everything are going up and when you have time again, you’d probably have to pay a lot more for a new stove.
You won’t be in school forever. Personally I don’t think you should put off your school work to tinker with your stove. It’s important you finish your school work. Under $140-$200/mo to heat your entire home isn’t bad at all, a lot of us are paying double that with our gas/propane/oil furnaces.
I couldn’t image taking on school with work and young kids. You can’t have much time for tinkering. My 3 year old loves to go in my basement and watch me do stuff and “help”. I will be nice when both my kids get bigger where they could help out and comprehend more of what I’m working on, they are fine little too

. I would have no time for this kind of fun, if I had to worry about studying.
Going to a pro sounds like a good idea. You can get estimates for free. Have a few hvac guys give you their ideas and thoughts on ductwork. If you had ductwork, you can add central air or a regular furnace, then when you get you big house in the hills when your done with school, you’ll have a higher resale value.
I think the Leasure line Hot Air Jacket would be a great idea, but I don't see where it fits your stove. Maybe show a printout to show your hvac guy, and they could bend something like that up. You will need more air, dual 265 cfm blowers is not enough to get the heat into your entire house. You might want to talk to a stove shop and find who they deal with for running duct (I’m not sure if a stove shop will run duct). Now, don’t be surprised if you have to go to a handy man or a stovetop to get the stove tied into the ductwork. You have a coal stove, not a coal furnace and no one wants to be liability for screwing up, because screw ups can be very bad. You can bring their ideas in what you have learned from the coal forum, a few estimates, and make an educated decision on where to go next.
Good luck. Send pictures
..kid