A western kamisori like a biken 8000 would do or a Shavette.. Or a genco with the guard remove like this blue one
Attachment 153327
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A western kamisori like a biken 8000 would do or a Shavette.. Or a genco with the guard remove like this blue one
Attachment 153327
+1 on the Japanese Westerns. I have a Nobiru that's 2.25 inches long. I've seen some other short ones too...
Dovo used to sell 2.25" "woman's" razors.
Do a search for a Double Duck Dwarf. They were short blades. I used to have one but sold it. It would fit your needs if you can find one.
I found a shorty pre 1890 Joe rogers that I would date to around 1860 at a fleamarket- it's is a 9/16 1/4 hollow wedge and it is a mere 2 1/4 from heel to toe. The razor has not been shortened. I'm in the process of resto restoring it, it should be a great shaver once it's done. That being said they're out there!
I don't think the op is looking for vintage blades