My manager left the company a few weeks ago. Instead of replacing him, the organization was re-structured so that I have 4 contracted project managers. They all micromanage everyone's hours and determine what everyone under them will accomplish that day. They've been scheduling overlapping times for me and won't accept me saying that I'm busy. They say that's not their problem and I need to learn better time management. I've tried emailing them together to discuss these issues but they refuse to respond to each other, they just respond to me alone and remind me that this isn't their problem.
I'm not allowed to know who they report to - I don't have permissions to view that level of the org chart, nor would I have permissions to email or schedule a meeting with whoever that would be. So I can't take it above their heads.
I can't afford to lose my job and be without health insurance, though I don't think any of them have firing power. What should I do in this scenario?