If you use the attachment generated by CW, you should scale it down to be 1 layer thick. So if I’m using 100 micron Z, then I’ll scale that object down to 10% along the Z axis to make sure that it’s 1 layer thick.
The attachment generated by CW is 1mm thick by default, which is too thick.
For a part of your size, shrinkage should not be so extreme that it would break so many supports that your part will be warped, especially if it’s hollow. I suspect that it is the repeated lifting forces that are breaking your supports. Thicker supports and a bigger attachment point attachment point will help.
It’s been a while since I last used MeshMixer for supports, but I recall needing to increase the attachment point size to something between 0.3mm and 0.8mm to get it to attach firmly.
If the bottom of the object is flat, you can also try printing flat against the build plate. If your object is less than 40mm x 40mm XY, getting that to work shouldn’t be too hard, just make sure to lift slowly, at around 15mm/min.
If your object is larger than that, it’s still possible, but it will be harder to get that to work.