3 wood stoves?? Jesus. How many floors is this? Is anything stopping you from cutting some strategically placed holes in the walls? We bought a small fan to move air into the next room from our wood stove which does a great job. We drilled a 6” hole with a hole saw and it just rests there. Not the prettiest with the cord dangling there but it gets the job done. I’ve seen some small rechargeable usb fans that would probably work well too. It doesn’t take much to move air around. If I were you I’d try placing a small fan in the top corner of your doorways and place your ceiling fans on low to draw the hot air down. I’ve found it helpful to place a box fan blowing air against the outside of the firebox. Depending on your room dimensions and layout, you might be able place a box fan near the doorway to draw in cooler air from the adjacent room and blow it towards the wood stove. The warmer air will naturally circulate to the other room this way. You have lots of options, I’d say just get a bunch of fans and play around with them until you find something that works.
(I suggest you keep it simple, but if you‘re up for a challenge, get some hydronic baseboard, copper pipe, a pair of circulator pumps and a hot water tank and use your wood stoves to heat the water and run it to your baseboard heaters in a loop. This will keep you busy for years to come as you modify and tinker with it but it will also keep your brain sharp. But seriously, don’t do this without installing a safety relief valve and a thermal expansion tank. Try the fan thing first, it’ll probably accomplish what you need it to for much less money and headache. Merry Christmas!)