HFC will never go for a bill that does not have full repeal.
The GOP do not have the votes for a full repeal.
So, they are back at a Mexican standoff.
Best to move on. And Trump has already said he is moving on.
Yes, they will.
Obamacare is effectively repealed when the mandates disappear. The HFC was dead-set against the Ryan bill not because it wasn't a "full repeal," but because it didn't do anything to reduce insurance premiums in the near term. You may not like the Freedom Caucus, but they recognized that it would be a political disaster for the GOP Congress and President Trump to come up with an "American Health Care Reform Act" in the spring of 2017 -- only to have catastrophic increases in insurance premiums showing up again in the fall of 2017 when the 2018 renewals showed up in mailboxes all over the country.
Trump can multi-task. There is time to work on this.