This is exactly what two of my allergic reactions look like. One of these allergies responds to antihistamines, one is a different sort of allergy that does not respond to them. Both reactions are damped down by hydrocortisone ointment, or other steroids. Both are soothed by topical oils, rather than creams.
If you've already been taking antihistamines, and it has got worse, this does not necessarily mean that the AHs are not working or that it's not an allergic reaction. You should try taking more (up to 4 of the one-a-day AHs), or a different AH, or combining different AHs.
Using oil and steam to gently cleanse and soothe your face is an excellent idea. Wash your hands with soap before touching your face.
Personally, in your situation I would take more antihistamines and I would avoid putting anything on my skin other than water, oil (preferably of vegetable origin, not petroleum) and steroid ointment.
If you saw a doctor for this before travelling, it may not be covered by your travel insurance unless you had declared it to the insurers.
Hope your skin calms down soon. I've been in your situation and understand how unpleasant and distressing it is.