quoted for relevance. Help us help you, by gum. The drain connects to the sealed plastic heater box, which also houses the AC evaporator (someone can correct me if I named it wrong, point is it's just similar to the heater core, sits closer to the firewall in the heater box).
There shouldn't be any white valve-like thing floating around in thar. Unless it was the fan resistor growing cauliflower and jumping ship because of leaky heater core growths/corrosion goodness
. Turn on the heat again, see if you can replicate steam/stank/whatever
Or post up in maintenance. Or wait until I return, buy me a growler of delicious 16 mile, and hope that I can actually drive up one day to look at it, which is probably a crap chance for a long while