How to work the system?

Ok so I have cancer . We have tried every thing to find financial help including food stamps , SSI and disability everything. We get denied because my wife makes $500 per week. We have 2 children and a mountain of medical bills. Every time we try to apply for something they say denied she makes to much. I am ready to move out just so I can get help. We have been honest with everyone and it seems that being honest is going to get us homeless and hungry and not able to afford my treatment. I see so many people driving hummers and using food stamps so there must be a trick I am missing. So although I wanted to be honest I just don't see how I can be. HELP!!!!!!!!!!!!!!!!!!!!!!!!