Hi Dan,
Would be nice to shoot 8x10. So I need a wide angle lens which I can mount on a box as deep as the lens needs to cover the negative size. There would be no bellows so the lens should be able to focus from short to long distances similarly to 35mm format or some medium format lenses. It’d be an advantage if it would have a focal scale but if not I can mark its focus ring.
Wide angle lens to cover 8x10? £££ - ££££, depending on which you get. Your answer raises more questions.
First key fact. Your camera will have no movements so the lens will have to cover 8x10 and no more. 300 mm circle will do it.
How wide do you want? Understand that because 8x10's and 24x36's aspect ratios differ there's no easy comparison. 24x36's normal focal length is 43 mm and 8x10's is ~ 300 mm. So, very roughly, half focal lengths are, respectively 22 mm and 150 mm. 24 mm on 24x36 corresponds to 170 mm, 28 to 200, 35 mm to 240 mm, all very approximate. You have to decide that before you can go shopping. 150 mm lenses that cover 8x10 exist, are dear. 180 mm lenses ... also exist and are more common, less expensive. 210 and 240, likewise.
Focusing travel. How close do you want to focus? The farther away, the less focusing travel you need given focal length. The lens' rear node (for most LF lenses, including w/a, this is approximately at the diaphragm) has to be one (1.0) focal length from the film when focused at infinity. That gives you approximately the box's depth.
There are formulas for calculating focusing travel from the infinity position given focal length and focused distance, whatever that means. In 35 mm land, focused distance usually means film plane-to-subject. I usually think in terms of magnification instead of distance, the magic formula I use is: rear node-to-film distance = focal length * (magnification + 1). You can see that focusing travel from the infinity position is just focal length * magnification. Magnification of 0.5 (1:2) will require 75 mm travel with a 150 mm lens and so on.
You might want to consider making a sliding box camera.