According to Brelyna Maryon in the College of Winterhold, the Telvanni are doing well enough to send their kids to college in far-off lands, and be worried about how well their kids are doing. This could lead one to believe that, even if Morrowind as a whole is now in pieces, the Telvanni are doing the best out of any faction in the shattered land. Other than that, I've got nothing about the Telvanni's situation. I'm guessing that at least the Dunmer can inhabit Morrowind, even with most of the land becoming an ashen waste.
The Hlaalu are doing poorly, according to a section from a book in-game. Sorry about this, but I can't quite remember the book. It'd said something about a trader in Windhelm being from the "once-great" House Hlaalu or something like that.
I'll update this as I gather more information...and as I find the time to get away from the game.








