Well, if you're female (no mention of gender in your post) pilot in the making, I'd go for marriage of convenience :-P I need hassle-free training in the US.
Back to reality.
As the guys wrote, it's not easy peasy. Having grandparent from one of the European country could help. Some of them would give you work permit or right to live and some citizenship if you apply. Then it'll be easier.
Just off my head, Portugese (you have to live in PT for some time under new rules), Italian, Irish, Polish passports. Maybe more. Be creative.
UK citizen grandparent can score you right of abode in the UK (5 year residence and work permit)
Some companies might require EU passport though. There was another thread about US citizen lady for cabin crew job..
UK is changing it's skilled work visa policies. Not sure you'd pass the mark if you don't have any degree and not high previous income.