I'm not speaking from personal experience, but I think us euros don't realise what a closed shop North America is. They will let you over there to study, but of course they charge many multiples of what you would have to pay for university tuition in the UK (if you have to pay at all). If you are to get a job there, the employer will have to demonstrate why they were unable to fill the position from a US resident. And if you have your own business, I think you have to demonstrate that you have a ridiculous amount of cash behind you.
Honestly, I think your best bet would be to do your accountancy qualification and then go to work in oil in Aberdeen with the hope of getting a move with a US company, and even then it will probably only get you as far as Houston. Can I make a suggestion? If you are going to go to uni for at least a year anyway, why not just leave the workforce a few months prior to this and try to get a place as a camp counsellor at a summer camp? Many years ago I thought about doing this, so spent the time getting some formal soccer coaching qualifications to assist. My circumstances changed, but itmightbe an easy route to an extended US sojourn.
Machine-wrapped, with butter?
Yes, machine-wrapped, WITH BUTTER