Sears has the basket for $89, local pickup at any Sears store.

The basket porcelain has a lifetime warranty, and they will repair. The
visit, with labor, is between $110 and $140.

I found this site: http://fixitnow.com/sbrvrs/washers.htm

It details how the Kenmore direct-drive cabinets are opened. I am going
to pull the basket myself - this is an easy fix, now that I know how to
open the thing up.

I will post with any future discoveries or problems. Thanks for the
help everyone!