Apple cider vinegar to the rescue!
The responses you got were good. I would like to add that low thryod is infamous for causing infammation and skin itching and prickling, not to mention a host of other things. I would consider reading a book by Dr. Mark Starr on Type2 Hypoythyroidism. You can google him and order a copy for $15. Hypothyrodism is very often not accurately diagnosed with blood testing, so if you had yours tested and it came out normal, that does not mean that it is.
For immediate relief, and even a possible short term or long term cure, fill up your bath tub with lukewarm water (the warmth will make it itch a bit more while you are in it, but that will stop once you get out.) Add a cup or two of apple cider vinigar and soak, soak soak, for as long as you can. Try to submege all the parts of you that are inflammed, and if you can't, take wash cloth and squeeze the water over it, and then use it as a compress. You can take these baths as many times in a day as you need too. You should get both immediate and cummulative relief.
Solar Ray makes a good skin formula that will proably help you a lot too.
You also might want to try the creame version of Bach Flower's Rescue Remedy.
Mud packs for your face and neck would also be good. Anyting with mud in it. I had an episode of this once and was out of everything, and I acuatlly used a clay based toothpaste - and it worked! (It took the itch away, it didn't cure me).