I have a set of carbon wheels. I'd sit on the rims unlaced without fear of collapse. They are by far stronger than any flimsy aluminum rim I have ever owned.
And while I am not a structural engineer, I don't know for certain unlike others, that the damage on your wheels is structural. Put it on the trainer, see what happens. Ride it around the block, see what happens.
I worry more about a tacoed aluminum wheel than a assploding crabon wheel.