I would be interested to see the link on the cutter you found. I have seen a very nice set up using OKI and a Graphtec which was fully automated but came in at about 15K
I have always been on the look out for something that will cut paper/card to any size so please post the link.
Having said that, Webtrekker is right, and if you have the patience and time then look at a Cameo with a cutting mat. They have a built in memory function I think which means you could load the page on a cutting mate and just press go, when it is done peel the card off and put another one under and hit go again.
It was what I thought about doing, only problem is that I can only get 25 units per sheet and my orders are in the 1000's