After flying directly through the wall of cloud pillars, this is what I was greeted with on the inside:
I climbed to as high as the Beechcraft Bonanza would let me go without stalling: 12,200 feet-- but it wasn't anywhere near high enough. To see how close I was to the top, I took the drone camera upwards, and several thousand feet yet higher I was greeted with this astonishing view.
I then initiated a slow descent, getting buffeted and ricocheted everywhere, all the way down to 1000 feet-- and even at that low level, visibility was zero. I had to abort my attempt to land near New Orleans, instead heading back to the Northeast for a bit, whereupon I performed a haphazard-yet-successful landing at some small airfield.
Here is my plane, safe and sound after its incredible journey.