I have read and heard a lot of good things about the Bridgestone Potenza RE960AS run flat tires. Provide RFT security and drive/handle like a non RFT tire. Anyone else?

You should try that in Texas. You'll be introduced rather quickly to the concrete retaining wall.

My run flats literally make my car lose complete contact with the road and hop sideways every time I hit a bad section of road at speed. They'll be gone soon and I will never have another set on my car.

When I bought my 99 20 years ago, I assumed that was the Corvette ride.
When I put new Michelin non run flats on, I was pleasantly surprised.
even though the cost, I am looking forward to getting rid of the run flats on my C7.

I just returned from a 140 mile round trip for tires. 70 miles there on the old Michelin Pilot Sport 3 ZP run flats and 70 miles back on the new Conti Extreme Contact DW06 plus non run flats. The improvement in ride quality, interior noise, and particularly traction is hard to describe. Feels like a different car.