Sorry to hear you lost that!!!
The parts manual I think you should be able to snag from Sears' website, Searspartsdirect.com, you may have to do it one page at a time.
As to what was most the common BOL machine, I am not sure, I don't think any of the 29-inch machines were huge sellers, especially as compared to the mid-line 70 series models. I don't know what you want to consider truly BOL, but I consider this machine lower MOL.
There is a built-in longevity issue with all the low to mid-line machines from 1980 in that they had painted tops until you got to the middle 70-series models that finally had porcelain. The polyester paint (Sears called it DynaGuard I believe) hadn't come out yet, so anything not porcelain was just enamel painted. These parts rusted quickly in humid environments. I got involved with these machines in repairing and rebuilding in 1990-1991, and there was already a lot of replacements happening in the painted top 1978, 1979 and 1980 models. Some of them were incredibly ugly with rust already. What was left by the mid 90s or later may not have been a good representation of what was out there when new.
I think I'd say that in this range of machine, the 1982 large capacity KM 500 (with the walnut colored panel) was by far the best seller of all these plastic panel BOL to MOL models. That model sold really well it seems, based on the number that I've come across over the years.
As to the dryer for this 1980 washer, there wasn't a separate model, it was paired with the standard 1979 KM 500 dryer, 110.76955100, or the 1980 large capacity 110.82050100. The control panels were exact matches.
Gordon
[this post was last edited: 6/16/2016-20:42]