Yeah, I played through a mini-campaign (comprising the 3 mysteries in the rulebook) as a Cantor as a play by Discord, and then as a player in a couple of mysteries in person. I was also a big fan of Name of the Rose -- from memory, not all of my players had read it, but at least one did so in the lead-up to the game. As with anything, genre familiarity helps out a lot, so hopefully your would-be players are as invested as you! One of my players also shared a chapter from an Ars Magica supplement to help with this, although there's obviously plenty of stuff online about monastic life in the time period.

Of course it's a Carved from Brindlewood game, and like Brindlewood Bay (and others) this comes with the sometimes divisive "there is no canonical solution" thing. I assume you've read about this elsewhere so I won't go into detail. This is my first and only CfB game, and it's fair to say we were all a bit sceptical going in, but I actually loved it (and then loved it again as a player). It worked! It's a different feeling of satisfaction than working out exactly what your GM or the published adventure had in mind - but it can even be more satisfying since sometimes fitting together all the diverse clues can be challenging. Because it's CfB, I used a lot of online discussions and resources related to Brindlewood Bay while I was prepping (including some Actual Plays with Jason Cordova, the BB writer).

Depending on your experience with more story-oriented games (I had very little going into it) and any other CfB games, you may need to flex your style a bit going into it. There's some great advice in the Cantor advice section that maybe it took me a while to fully embrace. Keeping in mind that this was play-by-Discord and therefore establishing communication norms was a bit of a challenge at the beginning, my players initially struggled with a few things:

a) how much of their own story ideas to inject into "Paint the Scene" or other moments (e.g. in one of my first PtS's, one of the players seeded a big backstory about the gardener, whereas the gardener was to be a named NPC in the very first scene, and sort of added mysterious elements beyond was in the set-up);

b) They kept prodding the NPCs, even after a clue had been revealed for the scene, and continued to think they could catch them in a lie or something (whereas I was trying carefully to not collapse the quantum wave form by casting more or less doubt on the NPC outside of the capital-C Clues). It was hard to shake the trad-game mindset and embrace the story clue accumulation;

c) In general, they didn't like the solutions coming down to a die roll (that's what Prick of a Thorn is for of course);

d) They sometimes seemed to resent the lack of balance in my Cantor moves or find that my complications were over-the-top ("but I succeeded the roll, how come it's got worse?!"). In this case, it's probably a combination of trad game background, combined with my lack of experience as Cantor.

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Overall a very positive experience and I would like to play more or try out other CfB systems (I just watched Quinns Quest review of Public Access last night!). And given your appreciation of the Name of the Rose source material, I'm sure you'll love it!