Man....that sucks. Hurts to look at.
The damp-rid should work, like others have mentioned. EDIT: If you have some kitty litter, spread some of that around the bottom of the cab too if you seal it up with the damp-rid. Kitty litter is great at pulling moisture out of things. Sounds crazy, but I've had it work. You'll just have to get a shop vac or something afterwards to get it out.
That transformer isn't your flyback, that's your Isolation transformer. It isolates the AC coming in, from the rest of the power supply, and weeds out excess or extraneous voltages etc. Your monitor AC power is connected to that, and most monitors won't work without an isolation transformer. Your flyback is the big can or black box looking thing on your monitor board.
I guess what I'm getting at here, is that your Isolation transformer should be good if you let it dry out completely. The power supply though, I mean it would probably work if dried out for awhile, but I don't know the integrity of the caps etc in there, or if they got water in them. I'd toss it.
I have a spare MVS power supply I can send you, it's the least I can do to help out in your unfortunate situation. PM me if you want it