Thanks for the query to H.C.M. Forum.
If I were your treating doctor for this acute severe diarrhea , I would come up with these possibilities , these includes.
1 Gluten allergy
i.e lactose allergy
( diary products) as you mentioned that diarrhea aggravate with milk products , so this is an indication that your intestines has allergy to these products . Diagnosis can be confirmed by clinical history and allergy tests
2 Ulcerative colitis
, diagnosis can be confirmed by colonoscopy
3 Amoebic colitis or worm infestation ( including E coli) .Diagnosis can be confirmed by physical examination as colon is palpable in this type of cases .
In my opinion first of all consult a physician and get his opinion regarding milk product allergy.
Good luck. Dr. HET