Sounds great, I did something similar with letting them pick their own mates and found they for the most part chose quite well and produced some great specimens. I'd love to help contribute to a landrace sometime, just set them up and let them do their thing and see what they produce over time.
Bearded could be a problem, I read that it's a lethal gene depending on what percentage it's at. So are some of the very short-leg and 'boofhead' genes, personally I'd probably remove all such animals before attempting to landrace the rest. It's unfair on them anyway if they are exhibiting the extreme examples of those genetics. Intermediary examples are probably fine to landrace.
Animals left to their own devices often inbreed somewhat as they are usually attracted to 'like' and in domestics and recent ex-domestics, we've long since bred out some significant natural behaviors like those that cause generational movement that separates parents from offspring. Sometimes it's as simple as the environment needing to be a certain way.
For example in Australia the wild bush turkeys of each new generation naturally migrate outwards from their hatching grounds, but since we've destroyed so much of the bush, they remain in isolated pockets of forest, with young males being driven out by their fathers into the fields to die, and the daughters being retained, since they cannot wander like normal due to lack of forest; the inbreeding is so severe if you clap your hands they fall over spasming like they're having heart attacks. I knew one situation where a very old male was inbreeding with at least seven generations of his own offspring with his own daughters, daughter's daughters, daughter's daughter's daughters, and so forth. (You could identify them by their unique injuries, they made terrible messes out of one another and their legs and feet yet didn't seem to die from such wounds too often). He had an advantage because he could drive out his sons long before they were able to challenge him. They were seriously mangy birds, using that term to describe poor quality rather than a parasite infestation, lol.
If I were setting things up for a landrace to begin, I would look into what mechanism among wild versions of the same species naturally separates parents from offspring and before I allowed them to 'landrace' I'd make sure that mechanism was present; if it's social, I'd make sure it was functional in at least half of the population, especially if there were lethal genes among them, and if it were environmental, that'd need providing too and possibly testing via supervision of the first breeding groups to make sure it was working. I don't think you could go 'hands-off' too quickly, especially given how feed-inefficient and needy some breeds are, and how weak some of their immune systems and parasite resistance levels are.
All the best, I think it's a great idea and I'm keen to see how it develops.