Any solution ! For getting my visa

Hello.
I have been informed ,that for getting a business type visa ,i do.need to submit the copy of my korean ID (alien registration card ) and its expiration date must be over than six months .but i can not extend it now ,because it will take at least 1 week to get my Id card back.and in this case i will miss my flight (it has been booked already) and even i wont have time for applying for visa..iam studying in korea at the moment .iam asking you ,is there any solution for me ? May i provide any other sort of documents ,which can show it that i will stay in korea for more than next six months (like :student Id card , Visa expiry date of korea visa .or any other confirmation letter. From my university ? Please help me .thank you very much.