I'm Getting Laid Off, Can I Negotiate My Benefits?

Dear Experts, I know I'm going to get laid off next week (don't ask me how I know). I'm thinking of going out on my own, but I'm married with an 18 month old. So, we need benefits. However, I know if I could get my healthcare expenses covered (the COBRA payment is too big), I could get enough work to get the biz going within the year. Can I negotiate health and dental coverage instead of severance? Our Twitter Advice Project (T.A.P.) is no longer an active campaign. To find an answer to the above question, please use the "Search" box in the right-hand column of this website.