(UPDATE 8/29 - I've made an updated version of this deck, after trying it irl for a few months and after looking at the upcoming Age of Overlord support. Check it out here: https://ygoprodeck.com/deck/hell-s-kitchen-season-2-349857)
Bear with me here - these haven't been released in the TCG yet so I'm throwing together something like this to see what I can do with this neat-sounding archetype.
Basing the entire thing around the Burger/Nouvellez archetype, with some Ritual support from Impcantation to get the Nouvellez monsters out easier. I'm leaning a lot more toward consistency with this deck design, with a majority of the cards pushing you toward the Ritual plays. Large amounts of search power thanks to the Nouvellez Field Spell, its searcher, and (Pre-)Preparation of Rites. Decided against putting "Cook's Recipe", the archetype's Continuous Trap - it's way too slow and only provides another option to Ritual Summon during the opponent's turn, which most of the archetype can do anyway. I tried to fit as much in terms of hand traps into the deck as possible, but this is honestly a pretty tight deck once you fit the Impcantation and Herald support in. I suppose you could cut back the consistency options a bit, but cutting back those options in a Ritual Deck might not be the best idea.
For Extra Deck plays, a lot of it focuses on either negates or Ritual-related effects. Herald of the Arc Light and Baronne become negates if you can get Diviner on the field, but Baronne will require you to use Diviner's effect and tribute one of your Level 6s (either Burger or Baegriller) to go into that. Chaos Angel should come out pretty easily since you actually wouldn't even need Diviner to Tuner due to its effect. Most of the Links have basic Ritual support, like Dyna Mondo and Cross-Sheep. Accesscode Talker is your game closer if you just need a push to end the game, since the big issue with this deck is a lack of endgame.
Side Deck is probably the area I'm most unsure about. Extravagance is there right now to increase draw power at the expense of your Field Spell and Poeletis having their effects neutered. Final Attack Orders is an option to force your opponent's monsters into Attack to make them vulnerable. And a few other cards that just make the entire deck a bit more consistent or make life a little easier.
I think this deck'll be really fun, but not super meta-defining. I can't wait to pick up the singles for this. I'll probably end up revising this decklist quite a bit, feel free to leave comments on what y'all think.