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>besides doing nothing
But that's the important part - I have spent the past week dodging the rain and doing DIY around the house, reading, and mostly only using this computer and not the one that is about 1 metre to the left and hooked up to the work VPN - doing nothing is good. Games are good. Don't feel guilty about doing nothing, that is the literal definition of taking a break.
On the work and prioritisation stuff, I recommend a system called Getting Things Done - I don't use it all the time like a madman, but I do fall back on it when I get stressed or task-overloaded as you have described; there are other systems, but that one works for me - it's a book by David Allen and is used/taught by a lot of companies. It begins with a great big braindump, and I find that part very soothing when it all gets too much.