Add something to help your liver detox more effectively so your skin won't have to, like N-acetyl-cysteine, and or milk thistle, dandelion liver herbal blend. When I was getting the bromide breakouts, I took up to 2 grams of NAC twice a day and it helped a lot. The breakouts cleared up rather quickly.
Keep doing the salt pushes and taking vitamin C away from (couple of hours) iodine.