How do you medically manage uncontrolled Graves' disease in a patient awaiting surgery who is intolerant to methimazole and PTU and refusing RAI?

Although this seems like a difficult situation, one must remember that in the past, patients were prepared for surgery with beta-blockers + KI, with excellent outcomes.

Feek et al., PMID 6892650

Therefore, I do not think you need to treat this patient with lithium, risking lithium toxicity, to prepare...