I'm pretty sure the frames are interchangeable and there should be very little fitting, if any, needed. IIRC, you will have to also swap out the trigger and hammer as those are unique to the Bisley. Definitely post a pic of the completed project if you go that route. It's a gun I'm lusting over.
You've actually given me an idea to ponder. Like you, I've been looking for a .44 magnum Super Blackhawk Bisley (in my case, a stainless 4.62" or maybe even a 5.5"). Ruger has stubbornly refused to offer one that isn't a "Hunter" model with that giant top strap for mounting a scope. I have a New Vaquero Bisley .45 Colt so maybe....... Unfortunately, I love my Bisley New Vaquero so I don't think I can do it.
I could buy a Bisley frame, trigger & hammer from Brownells and swap out a plow handle .44 mag SBH but I hate the idea of having a frame sitting in a box. I can't afford to buy two guns and do a swap. Oh yeah, that's why I gave up on this a dozen times before. I'm a poor lol.
This is my .45 Colt Blackhawk Bisley convertible. I want this in .44 mag but with the 4.62" barrel.