Another option, which was suggested in a similar thread on here and should not be overlooked, is to contact GoDaddy Customer Service to ask them if you can get it for the closeout TDNAM auction price, plus the renewal rate. Tell them missing the renewal date and the auction phase were out of your control. It is definitely worth a try. Again, the GD Customer Service # is: 480-505-8877.
If that does not work, don't be afraid to call back and speak to another rep and ask again. Be persistent and have fortitude. You can judge a great deal by the tone and overall demeanor of the Customer Service Rep, as to whether or not you will get what you ask for. Use kindness and business tact.
If nothing else, you can always ask if they will at least reduce the fees, as was previously suggested. You might be surprised. Remember, they are in the business of making money, and as such, they would rather see the name go to a customer who is staying with them as the registrar, rather than risking someone registering it with the competition.
Just a thought. Best of luck.
-Regards