The phrase "saddling with" often carries negative connotations as it implies a burden or responsibility that one may not want or be prepared for. Some antonyms for this phrase could include "unburdening," which implies a release from a heavy load or responsibility, "divesting," which suggests a transfer of ownership or control away from oneself, or "liberating," which evokes a feeling of freedom and release from constraints. Other options might include "disentangling," "disassociating," or "disengaging," all of which convey a sense of separation from a situation or responsibility. Ultimately, the choice of antonym will depend on the specific context and intended meaning of the phrase.