Interesting. I have poked my scuttle drain through, so it ain't blocked now. There is little sign of more water appearing so far. I am drying my carpets out by extensive mopping up, then laying newspapers under them and changing them every few days.
I know the OP has rear carpets that are wet, but if the fronts are excessively wet too, can the water travel from the front to the rear if parked on a slope?
When this happened on several of my Omegas, because the scuttle drain had become blocked, only the front carpets were wet on mine, but having first cleared all the crap and silt from the scuttle drain, I attempted to dry the carpets with a vax, which removed some of the water but the problem is that all the thick foam under the carpet which has the wiring tracks in it will be absolutely saturated, because the water enters the cabin from the heater access, and runs down under the carpet directly into the foam rather on the top. That is why the first you know about it is a damp spot on the carpet, or the screen and side windows misting up excessively but it will be a lake in reality and no amount of mopping with a towel on top of the carpet will dry it properly. I lifted the carpet on mine to get to the foam underneath, undid the nuts securing the wire track so it can be lifted up as high as possible with the foam, and wedged it with a block of wood, so that I could slide my hand and an absorbent cloth under the foam, and then squeezed the foam from the top so that the cloth soaked up as much water as possible - which is a lot! And I kept at it for quite a while. You leave it for a brew, and it then seems as wet as it was initially! When it eventually seemed damp rather than wet, I got an old hairdryer (NOT a hot air gun!!!), set it on the very lowest setting, and then propped at the best angle to dry the foam. Don't set it too hot or you'll melt the foam! I let it run for 2- 3 hr periods at a time blowing luke warm, with the windows open as well, and after several days (!!!yes, days!!!) it drys out eventually. If it isn't properly dry, when you next use the car, it will mist up for fun, until the carpets are completely dry. Incidentally, I clear the scuttle now at every service......