Reviewed and recommended: Dazzle Dry Nail Lacquer
It promises to dry within five minutes and it does. Plus it is tough wearing - and, believe me, I use my nails as if they were a tool kit.
I have also come across (thanks to Elle magazine's current green issue, which is full of natural beauty ideas) Priti Polish Remover. With soy and corn esters and orange oil, it stretches the imagination to believe this would actually work. I am assured it does. It seems worth a try since I'd like to get this stuff off with something that isn't rocket fuel. Priti also does a good range of polish.