ust thought I'd update this for any folks in posterity who were interested - never went back and did so with my goldfish brain! Neal's idea to consider species that generate wax was a good one, so I decided to look into waxy species. I went on Plants for a Future, searched for 'Other Uses: Wax" and put in my zone info (7/8), and I went down the (very short) list of results to see if any had the fat listed as edible. The only possible candidate that came out of that search was
Triadica sebifera, the 'Tallow Tree', and it seems like it checks all the boxes I was asking about: it is highly productive and does produce an edible fat. However, Dean at Eat the Weeds
Tallow Tree had trouble finding more information and much luck preparing it himself, and the only scientific journal articles I can find of making an edible fat from it seem to be industrial food chemistry folks, but the reports of its edibility date further back... another puzzle to solve! Wish I knew Mandarin!
Aware of it now, I can see most of the posts on PFAF include references to how invasive it is. It's always hard to judge through rhetoric how severe an issue is, and the USDA only lists it as moderately invasive, which is not the impression you'd get reading articles about it from state extension services etc. But I guess if it's invasive as the most fearful folks say it is, I won't have to plant any, because it will be growing here soon enough (currently it's restricted to zone 8 areas of N Carolina, but it exists in significantly colder ranges in E Asia).
At the very least, I'd say this tree puts to bed the theory that climate necessarily precludes plants producing solid, edible fats. Seems the tropical biodiversity argument was the better explanation.