"Getting in bed with" implies a collaboration or an agreement between two parties. However, this phrase could have negative connotations. As such, antonyms for this phrase could include "going solo," "standing apart," "keeping distance," "isolating," or "disavowing." By using these antonyms, it's possible to convey that an individual or organization won't compromise their values, and they're not willing to enter into agreements that might end up hurting their interests or reputation. Ultimately, it's important to be mindful of the implications of any phrase, especially in professional or personal settings, where the wrong choice of wording could have serious consequences.