NO There is no GOP or Republican alternative to Obamacare.
However there is a very good common sense alternative to Obamacare and it is called "Free Market Driven Health Care" where you remove the government from it and let the people choose what they want to do and with what doctors.
Get rid of the AMA and the other government departments that control our health, drugs, food and etc. etc. and let the free market work to drive the price down and give incentives for better service.
Of course their will always be snake oil salesmen and other frauds stealing from the gullible, but at least they won't have the government sponsorship to protect them from their illicit dealings.