depending on your definition of cheap, sounds a lot like the Portaspresso Rossa Air (https://portaspresso.com/shop/ols/products/rossa-tr-air-espr...).

You may also like the Espresso Forge, which manages to go even more reductive than what you propose, forgoing the pumping, or any sort of leverage, in favour of a piston for you to push on with a basket on the end.