I'm thinking it's one down from TOL. The control arrangement (one button array, two auxiliary knobs, timer) is akin to the model below, which likewise is one down from TOL.
LSA8900 is 1968, dubbed "Imperial" ... possibly would say Imperial 90 on the console. The TOL 1968 model is Imperial Mark XII.
The model in the CraigsList ad likely is a couple years newer.
My guess is the pushbuttons are 5 temp selections. One rotary knob is water level, and the other is 4 speed selections (high/high, high/low, low/low, low/high). Imperial Mark XII has two five-button arrays -- temperature and speed (three agitate, two spin).
The feature chart on the brochure scan from which I pulled this picture lists both Imperial Mark XII and Imperial 90 as having "Flexible selection washing" ... which I believe is a reference to speed selection choices being separate from the timer cycles.
I was surprised and intrigued when I ran across LSA8900 in the brochure scan, a non-TOL Whirlpool with separate speed control.
