So I tried cooking a 500g piece of belly pork for 18 hours at 82 the way @matt suggested and was surprised how well the texture of the meat came out. I expected it to be a bit mushy but it was actually great.
I don't think you can make the meat look good though, it was ugly when it came out and even with a very sharp knife it was impossible to portion well. Ultimately I decided to shred the meat, I discarded some of the excess fat, then added back some of the cooking juices, thyme, sage, salt, white pepper, onion powder, and roasted pork fat to make pork rillettes, as I mentioned earlier.