Well I am not planning on getting a school degree or something in that direction, so I doubt I will be given a F-1 visa. I believe the Visa for receiving flight training is M-1, correct?
Here's EFT's (Florida) course:
European Flight Training » APP | APP in Detail
They give you an option to stay with them for 1 year after training
Then there's Harv's air in Canada:
Harv's Air > International flight students working in Canada after training in Canada
But then I receive a Transport Canada license, which isn't bad either.
The main thing that's keeping me from training in the States are the visa issues. Apparently it's easier to get a working visa for Canada for EU residents. I won't even need a visa for flight training in Canada if I stay shorter than 6 months.
Edit: That link looks interesting.