The best and easiest solution to the Republican health care problem is to read and apply The Constitution of United States of America. Surprise! The words "health care" are not to be found therein and, with the 10th Amendment, their absence is not an accident.
Since our founders, as representatives of their preexisting sovereign state governments, did not include health care in their short list of subjects assigned to their new central government, according to the 10th Amendment, health care and all other not-included subjects were "... reserved to the States respectively, or to the people."
Thus, the best and easiest solution to the Republicans' current health care problem is to remove all central government health care regulation and, with a financial 'sweetener,' return all health care regulation to "the States ... or to the people."