It doesn't really matter if it is Celiac or gluten sensitivity. Celiac is just a subset of gluten sensitivity. Although your tests are negative, I read that 1 in 500 have false negatives. Also, as someone pointed out, you are off gluten already.

If you feel better off gluten, stay off gluten. The reaction is not just in the intestines.

You may also consider going off all dairy for a while and see how you feel that way, as well.