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I'm not sure exactly what you're after when you say "those" skin colour tones.
If you mean like what is displayed in the two samples on that page, those samples are quite different so the settings emulating one are not going to be close to the settings emulating the other. Gina is very yellow-green. Jane has much less green but is still yellow-biased.
If you mean emulation of the carbro process in general, I think that is going to be tough, too. You would either need a formula that someone else has already figured out (and perhaps has translated to some kind of profile or presets for software like Photoshop or Lightroom) or access to some carbro prints from which to make your own formulas, profiles or presets.
Most companies that make presets and profiles for film stocks concentrate on more common stocks like Kodachrome, Fuji, etc.. I don't think I have ever seen one for carbro. You could double-check the offerings from companies like DXO, VSCO film, onOne, Nik Software, and Alien Skin.
If trying to create your own emulation process/profile/preset, your first problem is going to be getting reliable samples and then figure out if you want to filter out any aging effects that have occurred over time. It almost seems like you are trying to emulate the "process" that carbro used in Photoshop and I don't think that is really going to work. One process is chemical and one is digital. The only reasonable way to get there is to work backwards from a final print taking color samples.
I think your best bet is going to be to hang out on restoration and film forums and see if people who actually have access to carbro prints could give you some suggestions regarding the typical color and tone characteristics of that process. I tried "emulate carbro photoshop" in Google but most of what I got was your own posts. This thread did look interesting though if you haven't seen it: