Like someone above me said, a lot of big companies offer domestic partnership benefits which generally cover health insurance. A domestic partner means that you sign a waiver saying that you are in a committed, monogamous relationship with someone (of same or opposite sex). I'm not sure if you've ever mentioned your field or your significant other's field but those of us out here can probably tell you what companies do offer it.
On top of it even some companies you wouldn't expect offer insurance for working as little as twenty hours a week. For example, Starbucks and Target both do. You only need some kind of insurance to hold you over in order not to get the pre-existing insurance garbage. So you could start working for a company that offers insurance either on the day your coverage expires or before because even if there is a mandatory waiting period for your insurance for work that is not considered a lapse in cover so it cannot be held against you in getting insurance.
Also, a lot of student health plans will cover you for the summer after you graduate so that would actually only leave you a couple of months to figure out. And who knows, maybe by that point we'll have healthcare figured out. You may also qualify for medicare/medicaid, which your social worker at your clinic should be able to naviage with you.
