Many Democratic House members are considering a vote for the Senate Bill with the expectation that there will subsequently be fixes. But such fixes would require at least a modicum of GOP support, especially if the fixes cannot be done through "reconciliation." So, I'd suggest that the GOP should say this right now:
We promise that if the Democrats ram through this huge monstrosity of a Senate Bill, then we would subsequently support repeal of the whole thing, but we would oppose or abstain from any vote to make partial fixes, at least during this Congress.
This would likely scuttle the whole bill. Even if it doesn't, the full bill would then essentially be put to a referendum vote during the November elections.