On unemployment. Need surgery. What do I do?

I am currently on my 6th month of IL unemployment. Several months ago, the state turned me down for health insurance, saying I made too much money, though they approved my 6 yr old for kid care. I just found out I have a uterine prolapse and will require a full hysterectomy with 4-6 wks recovery. I reapplied for IL Family Care, but don't know how to handle the unemloyment vs. temporary disablity, etc. I can still apply for telemarketing type jobs I can perform from home while I recuperate. My pay now covers about 80% of my expenses. My disability from SSI would cover about 40%, I think. There is also TANF and food stamps, but my "income" is too high for those, even though it doesn't cover my bills. What do I do to stay honest or who do I go to for help?