That size seems to be a flanged lug nut size and pretty rare without the flange. McMaster Carr, Fastenal, and Grainger don't have them. I also found this, but it is a Gr 2 thin jam nut and US$11 plus shipping for two. The lug nuts also seem to be Gr 2 and are more money.
11/16 NF thread is also 16 TPI. That means you should be able to cut a 11/16 thread over the old 3/4-16 thread and end up with a new but 1/16 inch smaller thread.