How can I fix my mesh in RC so I can sculpt the mesh in Blender without the texture breaking?

Hi,

this behavior is as expected, as your texture is mapped onto the model and it will also be sculpted, thus distorting it. So long as none of your sculpted changes are too drastic, you might have better luck bringing the model back into RC and texturing it again, but if the surface has moved too far away from it’s original position this will not get great results either.