There's another Suncal TIDDs bill -- HB470, sponsored by Rep. Ed Sandoval that's on the House calendar.
Conceivably, the House could pass that -- perhaps by waterboading wayward votes -- and send it to the Senate. There were a lot of votes that flipped on both sides in the vote to reconsider, which tells me there's some room for play.
It would be a race against the clock, but not impossible.