LS shoes definitely won't fit, they're about 1" bigger in diameter.
The 79/80 R65 shares shoes with the /7, but after 1980 all the Beemers shared different rear shoes (not counting the unique LS)
Not sure what changes were made to the shoes, brake cams, "cardan covers," etc, but if you can make an 81-on rear end work in a 79/80 R65, you should also be able to make that rear end stop a /7 wheel.
P.S. I might be interested in the LS wheels