I don't have very good news for you. You will not be able to get out those cd's. Even if you were to take out the radio and open it up you would not be able to get them out. If you opened the radio you would have to take out the whole carriage assembly, and you would never get it back in. I have opened one up and it is impossible. Most dealerships can send out the radio to get it repaired. I believe my dealership charges $225.00 for sending it out. This does not include the labor charge for removal and install. They will send you your cd's in the mail after it is taken apart. The bad part about this is it takes a few weeks, and during this time you have a big empty spot in your dash. However it is much better than paying about $850.00 for a new radio plus labor. Hope this helps out.
Unfortunately this is a common problem. Honda dealerships do have the right to do a one time goodwill warrenty. This will depend on how good a customer you have been to the dealership. If you have done all your services and spent money with them they might consider it. However if you only do oil changes they might say too bad. Good luck to you! Let me know if you need any other help.