I'd like to thank everyone who offered suggestions. It turned out to be surprisingly easy.
I ended up getting an open box Dayton SS sink for $75 (avg retail close to $200). I managed to install all 12 clamps, 3 on each side. The corners still lift slightly due to the limited width of the clamp rails but silicone fills that.
I had to cut open the right side cabinet and misuse my router to cut away part of the front ledger for clamp fit/access but it was easier than I had expected.
It is indeed surprisingly easy to cut Corian (wear a mask). I didn't have clearance at the rear corners for the jigsaw and ended up using a 90 degree pneumatic die grinder to radius them.
I quite like how it looks.
I appreciate everyone's willingness to throw ideas out. It's often really helpful to be able to talk out loud, if only to confirm your approach.