Trying to get into carbon printing without using a computer / scanner / printer (just a preference).
You don't have to explain, I know what you mean!
I thought about it for a while, but decided it would not be feasible, at least not with decent color fidelity and within a reasonable timeframe. Starting with color negative is another hurdle as opposed to color positive/E6 and I didn't really have in mind going back to that stuff anymore. I did think about the applicability of x-ray, but apart from
maybe getting it to work as an internegative, I don't think it's much use given its wayward H/D curves. If you plot those out, you'll notice they barely have a straight part to them. The one you posted is a good example (now I see why it looked so familiar!) I considered something relatively affordable like Fomapan 200. This is also not necessarily perfect, but lots better already and panchromatic. I understand this isn't a feasible option for you, so it's out of the window.
If you go for a more artistic result, I imagine you might be able to get this to work. I imagine the results will be the kind of thing you see in 1970s screen printing work when that became accessible for the masses. It should be feasible and might be worth it if that's what you're looking for.
I'd recommend to just give it a go. I'd recommend also getting the carbon book by Sandy King, Don Nelson & John Lockhart and perhaps also Calvin Grier's gum printing manual. Neither goes into full-analog color separations, but they contain a plethora of relevant information even if you don't work with digital negatives.
Let me know how you get on with this. I'm currently working on a color carbon approach myself, which is slow and frustrating, but interesting overall. I've written a couple things about it on my blog; have a look, you may find one or two things relevant.