I ventured to my local Sears today to gather some more data on this opportunity.
Kenmore Challenge Checklist
I found a GE Washer at Lowe's for $397 ($2.88 less than the Kenmore) which matched up almost exactly, feature for feature. Model # WLSE4210AWW
There are two close approximations on the GE website. Look at model #'s WPSE4200AWW & WCSE4230AWW both @ $429.00 MSRP.
GE Washers
The discrepencies between the Kenmore 20702/20712 and the GE WLSE4210 follow:
1) The Kenmore "Dual Action (R) Plus Agitator with 2-piece design VS the GE 1-piece agitator
2) The Kenmore Quiet Pak (TM) sound insulation VS the GE "Quiet By Design" philosophy
3) The Kenmore Motor (see checklist for specs) VS the GE Motor
From the physical looks of the two, I wouldn't doubt that GE made the Kenmore model.
I'm nervous going into this "creative purchase" (sounds better than scam) because $400 is a hefty wager. Even if we did find an exact match somewhere, what's to keep Sears from sending you a letter in 10 weeks that refutes your challenge siting differences between Kenmore's "usable capacity" and GE's 3.2 cubic foot "capacity".
Also, per the previous posts, how do you purchase the washer and then return it 10 weeks later if your challenge isn't approved. I'm assuming you never pick it up from the warehouse, but 10 weeks is far beyond 30 days.