I don’t want to sit around and do nothing.
For me the hardest thing about running is taking recovery seriously. If your body is telling you to stop and sending so many strong signals, you should listen (actually you should listen before you have trouble sleeping etc.). So right now the harsh truth is probably that it's not about what you want, but what you need.
The training plans I use have recovery weeks that drop the km/week to about 60-65 %, and reduce tempo runs. But that's when you don't have already overexerted yourself, so I doubt if that would be enough in your case.