So, apparently the only way to get this stuff resolved is to email Customer Service. Today I received this email:

Thank you for contacting Continental Airlines Customer Care regarding a refund for record ABCDEFG for $1405.00. I have looked into this matter and the refund has been requested and is waiting processing. You should see this refund on your next months billing cycle.

Thank you for choosing Continental Airlines, it is our pleasure having you on board and we hope to serve you again soon.

Thank you,

Seymour Butts
Customer Care Manager

However, it's rather disappointing and not at all cool that it takes over a month and a couple of emails to get money back that I should have had refunded within 48 hours in the first place.

^ to getting my money back finally and to the process