Thank you for your question. I look forward to working with you to provide you the information you are seeking for educational purposes only.
You need to start by filing a written appeal to the SSA explaining the situation with proof of your bank records attached showing no payments were received. I know you went through the local case worker but you have to send it to the DC office now too and you need to also tell them that they have no proof any money was received by you as it never was deposited in your account and to send you any proof they think they have.
Once you receive a response from DC, if they deny your written appeal, then you need to engage a local SSA attorney and will have to move to the next step of requesting an appeal hearing where you go before a hearing officer with your evidence and they will invalidate the reimbursement claim.
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This is NOT the practice of law nor is it legal advice to you, it is merely educational information for you to use to seek out a licensed attorney in your state to get actual legal advice from them. Please use sites such as http://www.martindale.com or http://www.lexmundi.com or http://www.hg.org to find a local attorney to get actual legal advice in all matters.