Let's think about how a Carbon Tax vote would go down. Assume the House agrees to wrap it into a large-scale budget deal and it moves to the Senate (big assumption, I know):
Likely Democratic Nays
Manchin
Landrieu
Begich
Heitkamp
Possible Democratic Nays
Pryor
Rockefeller (would vote for it only if he is retiring)
Baucus (would presumably vote for any budget he crafted, though)
Tester (would probably vote with Baucus)
Casey (will want natural gas concessions)
McCaskill
Donnelly
Likely Republican Ayes
Collins
Ayotte
Kirk
Possible Republican Ayes
Heller (solar)
McCain (solar)
Grassley (biofuels)
Ron Johnson (biofuels)
It looks plausible to pass it in a budget agreement under reconciliation, but it could never be done as a stand-alone.
Not sure why you have Heitkamp down as likely nay (unless she's said something explicitly anti-carbon tax). I would think the natural gas industry would love a carbon tax as it dramatically increases natural gas's competitive advantage over coal and oil. Otherwise, I don't think we know anything about Heitkamp's environmental views.
Similar for Casey, though natural gas is not that big in PA yet and unlikely to become so soon as the bottom has really fall out of natural gas exploration for the time being. The glut in supply has caused prices to drop too low for new exploration to be economical.