Well, the Senate "compromise" (meaning the left gets all it wants and Mitch McConnell gets to stand in the back of the press conference) isn't going anywhere in the House. The House has a counter-proposal that the left has rejected without seeing. So, I know this probably sounds like tin foil hat time, but is it within the realm of possibility that the President declares some sort of National Emergency over the default and unilaterally proclaims the debt ceiling raised and the government continuing resolution in effect? Is this within his emergency powers? You know the media would be onboard.
I don't think it's all that likely, not even for him. However, he's pushed the boundaries before...