Paul, think your hours matter more than the fact you have a frozen Atpl.
Insurance requirements can be as high as 400hrs verifiable Atlantic crossing time(meaning with an experienced pilot) before you can do it solo.
There are companies out there that will let you do it with considerable less time, even heard of a place in the UK that will let Private pilots do this sort of thing.
Maybe wise to stay away from those.
See if you can find yourself a experienced ferry pilot who will let you tag along at your own expense so you can build experience.
There is a trail of little airplanes on the bottom of the Atlantic.....