Wet carpet under system

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.

The pad needs to go the carpet might be salvaged. Call your insurance my mother’s paid for all new flooring after a water leak ruined some carpet and hardwood flooring. They also paid for a damage specialist company  come suck the water up and fix the leak , minus deductable of course.

Thanks for all the responses!

Oh sorry  you said leak from rain the insurance company  might call it flood damage , that happened to me once during  a  hard  rain,  insurance  wouldn't  pay squat.