It was pretty much inevitable that Republicans would start grasping at straws as it becomes increasingly clear there aren't the Republican votes to prevent a shutdown, not without some effort at actually governing on the part of leadership. The current straw—buying a few more days with a very continuing resolution spending bill (CR), floated no less by Sen. John Thune (R-SD) who's the number three in Senate command.
Except that the number two guy in Senate command, Sen. John Cornyn (R-TX) says "No, we’re not going to do that." Cornyn ends to freelance, and McConnell hasn't said "boo" about that one, so consider that a viable possibility until you hear from the very top.
As of now, there are three Republicans who say they won't vote for the House bill, a longer CR measured in weeks rather than days which include the hostage of six-years' funding for the Children's Health Insurance Program and the Republican-bait of more delays of Obamacare tax provisions. Those senators are Lindsey Graham (R-SC), Mike Rounds (R-SD), and Rand Paul (R-KY). They don't have John McCain (R-AZ) who is still out battling cancer.
To get this passed in the Senate, they need 60 votes. They're down to 46 now, and there's a very real possibility that Utah's Mike Lee repeats his "no" vote from the last CR in December, they're at 45. That means they'd need 15 Democrats. So far they only have one—Joe Manchin (WV)—willing to play along.
That's assuming it even makes it out of the House, which is looking less and less likely. Democratic Leader Nancy Pelosi is holding Democrats firm in opposition. The Freedom Caucus is claiming 22 votes against it and ongoing negotiations between them and leadership have reportedly "largely fallen apart, per [members] of Freedom Caucus just now."
Clearly, the Freedom Caucus is feeling its oats and is in no mood to capitulate. Have fun with that, Mr. Ryan.