I don't know if this helps you, but i used to live in USA also and i applied for PCC from the FBI. It took them almost 4 weeks to charge my credit card from the time they OPENED my application and another 2 weeks until it was mailed out. It was mailed out 2 days ago, so i am expecting it soon.
Also, just because they receive your application does not mean they will open it and start processing right away. They usually have 2 weeks of backlog
Also, i was able to find out that its been mailed by calling the FBI CJIS Customer Service Group at 304-625-5590. They can usually give you progress details if its already been a few weeks.