I smartified my range hood a number of years ago. While it’s similarish, it’s definitely not exactly the same as yours. I’ve since switched to an ESP32 running ESPHome (did the original project long before I even knew of HA). I use a temp sensor and a cheap smoke alarm (just for the smoke sensor) to ramp the fan up automatically.
I made a writeup that might give you some inspiration or pointers:
I started poking around up there this weekend and found some stickers that are helpful, but the biggest issue I see is that I don’t see a way to get in there deep enough - I can remove the vent grills, but I think the contractors who installed it didn’t provide a good way to remove it or get in there. Maybe I can snap off the trip piece underneath that surrounds the whole thing exposing screws. I’ll keep poking around. I’ll look into the link you shared. Thanks so much.