Wet carpet under system

@rvpiano,Walking on a wet carpet with cables lying around is a concern. More than that, it is the moisture that would get your equipment. Is there a way to take out that moisture quickly?
But this is my concern. Wondering what others think about your situation.

Use a wet/dry vac to get the moisture out of the carpet then put baking soda on carpet. Vacuum carpet  to remove baking soda. 

Water damage repairs should be available with your insurance policy. Even if it's not covered, they can recommend a specialist who could help out or give some expert advice. 

Like already mentioned, wet/dry vacs and large fans positioned correctly on the floor will help speed up the removal of water. But it must be done safely and quickly. Good luck and I'm sorry to hear this.

All the best,
Nonoise

Unfortunately, my experience with large areas of wet carpet requires the carpet and padding to be removed so the floor can completely dry out.
Padding most likely needs to be thrown out. Sometimes the carpet can be saved and other times its best to throughout and purchase new.
Regardless of what method you use, you are not going to dry out the carpet and floor without removing the carpet and padding.
I would not be more concerned with water damage to the floor, carpet, and components than electrical schock.