That list of Senators gives me no hope that Obamacare is going to survive for much longer.
A hard-right solution wouldn't get 50 votes in the Senate, though there are a few "moderates" in the group, namely Portman and Gardner.
Frankly Cruz and Lee would want something worse than what the House put out, so it does seem the case that they might be trying to emulate the Freedom Caucus with their bill, figuring its easier to put something out that the rabid dogs like and get the moderates to fall in line. Let Collins and Moore-Capito vote no and Pence swings it through the goal.
Though Cotton, of that group, isn't going to like anything that's too harsh on Medicaid.
Edit: Biden might run, Sanders and Warren probably won't. Sanders will find a surrogate willing to run in his name, like Brown (although i don't know if Brown himself wants to throw down for this).
Harris, Gillibrand, Cuomo, O'Malley, Klobuchar, Booker, Castro, and Landrieu are the ones to watch aside from Biden.