Sorry, we don't have the feature they are requesting. The best you can do is to make the call ring for an extended period of time then CFNA to another extension and ring for an extended period of time.
The only other option is to dedicate the entire AA system to this call type, make ALL of the AA options including the timeout, Play prompt "Your call is important to us, blah blah", then transfer the call to an extension. That extension would ring for a period of time then CFNA back to the AA extension. I'll caution that looping like this is a bad idea and the business answering the calls won't have any idea how many loops or the order in which calls came into the system.
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