Bespoke Cafe Menu Design + Print

I’m looking for a design + print supplier to create a bespoke folded menu for a café/kitchen with a horse racing / jump racing theme.
The menu must fold in a custom way that visually mimics a hedge jump / hurdle, with stepped or raised sections between menu pages (breakfast / lunch / dinner). This will require a custom dieline and die cutting, and I am looking for someone who can both design AND print the final menus.

What I Need

Creation of a bespoke fold / dieline
Menu layout and artwork
Printing and finishing of the menus
Delivery of finished printed menus
Menu Structure
Sections: Breakfast / Lunch / Dinner
Folded format /custom dyeline
Durable stock suitable for café use
Easy to handle and readable
Design Style
Horse racing / jump racing inspired will provide branding
Clean, premium
Suitable for a café / kitchen
Printing Requirements
Please confirm:
Paper stock options (ideally 300–350gsm)
Die cutting and scoring capability
Finishing options (matte / silk / laminate)
Minimum order quantities
Proof or sample availability
Deliverables
Final printed menus
Print-ready PDF
Dieline (for reference)

50 pieces
Important
Design-only sellers should not apply
You must be able to print and ship the finished menus
Please provide examples of previous printed menu or packaging work