After a long time searching, I finally found the other two Plectranthus potatoes... Or so it seems.
Plectranthus esculentus isn't currently in season, but on inquiry, I was told by the owners that this South African website should have them around August:
https://livingseeds.co.za/tsenza.htmlThey also told me they ship overseas. Another South African website that sells them (but didn't answer my email):
http://durandtsheirloomseeds.co.za/product/tsenza-african-potato/⁂
Regarding the more elusive Ethiopian / Oromo Potato... I have a lead. Time will tell if it's accurate or not:
RarePalmSeeds. They're selling one called Plectranthus punctatus subsp. lanatus. Link here:
https://www.rarepalmseeds.com/plectranthus-punctatus-subsp-lanatusI went ahead and bought one (together with Vitex doniana and Inocarpus fagifer, fyi). I'm of the impression that P. punctatus lanatus is a synonym for P. edulis, and I really hope that's the case. If not... Then this may be a fourth Potato Mint (there's yet another one, P. parviflorus, but I'm not sure it bears worthwhile yields... It's not domesticated, and there's very little info online).
All of this is assuming RarePalmSeeds has an accurate identification... It may be a misidentified P. rotundifolius, or something else entirely. The picture doesn't look like the photos I've seen for any of the three potato mints. I once bought Dioscorea bulbifera bulbils from them, and ended up with a load of D. alata (not bad as far as crops go, but definitely not what I paid for). I hope their ID is correct this time.
P. rotundifolius is somewhat rounded-leaved, with square tender stems and a tendency toward a prostrate habit when the branches get too heavy (wherever they touch, new tubers form); blue flowers, compact, oval tubers.
P. esculentus has yellow flowers and clusters of long, thin tubers. I think it grows with a more erect habit, but I'm not fully certain. The leaves are long and oval, and I think maybe tomentose (again, not fully certain).
P. edulis also grows erect, and quite tall. Long oval leaves, blue flowers. The tubers seem like they're produced on stolons like Solanum potatoes, and one photo showed them to be weird and segmented (like a large, brown version of a Chinese Artichoke). All these descriptions for the latter two species are second-hand, from what little information I could find online and in the botanical literature, so I have no idea how accurate it is.
With any luck, we'll soon have both species available here.