Leigh, I think you really do need to take a complete break lest the problem become any worse. Obviously you're not going to immobilize your wrists, but any further stimulus of the sort responsible for the symptoms you're having must to be avoided completely.
I can't see any downside to doing exercises to warm up when you resume practicing, especially given that you have time for them in your routine. Everybody's different, so I couldn't say whether you
need them; my own feeling about warmup exercises and technical exercises alike is that if you need them, you'll benefit from them—and, likewise, if you benefit from them, then you needed them.
At some point, it will be necessary to try to assess what you may have been doing wrong. Remember that nothing should cause pain during practice or result in pain afterward. From what I understand, unnecessary tension is the most frequent culprit in these sorts of injuries (assuming that basic stuff like posture, seating position and other ergonomic concerns have been ruled out).
So stop practicing for now! The piano will still be there when you're ready to get back into it, so don't try to rush the healing process either. There's too much at stake not to err on the side of caution. I recommend you use the newfound free time to immerse yourself in listening to music, perhaps auditioning repertoire you're curious about but not familiar with. The combination of YouTube for recordings and IMSLP for scores to read along with as you listen is unbeatable.
