I love those dryers and that era of Kenmore. This is a 1972 upper-end 60-series. I grew up with a similar model, but one step down. They don't seem to show up all that often. I think I've seen four or five of these dryers in 4.5 years on AW, and only one washer.
I had the matching washer to the 72 dryer years ago - it was outside behind a house and I dragged it a whole block, downhill in the snow. Had to let it thaw out before I could run it but once cleaned up, it worked perfectly and was almost in like-new condition. I used it next to my TA700 Maytag washer for a couple of years - I always liked that knob for some odd reason, still do
Didn't know Kenmore got a stainless basket model...
I recall that Ultra Care washer, thought it was strange they had such a full-featured machine with only three water levels and not infinite. But, that was Sears. They had a little scuffle, and lost, with the courts over pricing; sale vs. retail, and bait-n-switch so they were careful to change things around a lot so as to avoid any more trouble. When I worked there in the 80's, these little changes were apparent in almost every department that had "frequent sale ad presence."
WP used these in better MT versions of the NEW CENTER DIAL MTs, so I am not surprised to see some show up in KM models. Jason ordered a SS basket for his 1994 KM DD Suds-Saver machine that has now been retired to the warehouse, they are completly interchangeable on any super capacity DD washer.