This has been me for about four years, I really feel for you. It all changed last year when I was prescribed antihistamine eyedrops, and fexofenadine antihistamines from my doctor. These are both prescription level, not over the counter.
In my case, what I was thinking was eczema around my eyes and nose and mouth (red, sore, weeping) was actually a reaction to where I was rubbing my skin from my eyes watering and itchiness. I was essentially taking the top layer of my skin off and exposing the underneath.
So, resolving the hayfever stopped the eye watering which stopped the ‘ eczema’. In parallel with that, I was told by an NHS Dermatologist that I had ‘undertreated’ my skin and to use Doublebase moisturiser five or six times a day at a minimum, to restore the long term damaged skin, and hydrocortisone or eumovate or elucon under very specific, escalating conditions to further resolve it. These are strong steroids, but on prescription, and with full instructions on how to use them, my dermatologist was clear that they’re okay to use.
i was also prescribed Balneum cream which soothed the itch enough to get to sleep so I’d have a non-scratch night.
I would strongly recommend trying to see a dermatologist about this.good luck x