I don't think Kayak would help at all. They are a search engine that points you to travel sites. Their FAQ says as much.
Just found the following on DOT's web site:
"Does the 24-hour refund/reservation requirement apply to tickets purchased or reserved through a travel agent or online travel agency?
No, the 24-hour refund/reservation requirement for airlines does not apply to tickets booked through online travel agencies, travel agents, or other third-party agents. However, these agents are free to apply the same or similar procedures to provide equivalent or similar customer service."
I guess sites like Expedia offer the refund, Arangrant doesn't care about customer service, just a quick buck.
Seems like I'm not gonna get my refund.
Any suggestions from the DDF gurus???