Can the impurity of dried urine drops, which are not known to have come into contact with bedding, be transferred to the body through sweating? And what is the Shariah ruling that must be followed in this case?

There is nothing incumbent upon you. Doubt about the transfer of impurity does not remove the certainty of purity. The aforementioned bed is pure, and there is no need to inform anyone. We warn against obsessive doubts concerning purity.