That Is....
....An upper-MOL unit, a model or two beneath the Lady Kenmore. The clues are the array of pushbuttons and a dial (LK's had pushbuttons only, plus lighted cycle indicators - no dial at all), and the full-width hose console at the rear of the worktop - lesser machines had a smaller console. It's about a 1972 or '73 model - Sears started using plastic for hose consoles in, I think it was, 1974, instead of the extruded aluminum seen here. It's porcelain inside. Thin porcelain, mind you, but porcelain.
What's odd here is that I haven't seen a machine before that was so high up in the line that has a Formica top instead of the maple top.
For a Sears machine of the era, it's nice, but it's still a D & M-built dishwasher.