I remember that too - when I first got mine used, just holding it made me feel ill lol - someone offered to take it off my hands but I held onto it because no deck had ever affected me before, so I put it with my other decks and gradually warmed to it. I love it now, the green colour makes the cards vibrant, very pretty - its my favourite Thoth, I like the borderless backs and how the cardstock feels and it does feel very different to my normal large Thoth.
You'll be able to track one down, also the scans don't do them justice - when I scanned mine, it still looked greener in the hand than it did in the pics.
I've added a scan of my Thoth Cup Prince - this is one that usually stands out in a green deck
And also one that you could ask a seller to send you a scan of, you'll be able to tell straight away if its a true greenie.