Also consider
International Centre for Aerospace Training who take a lot of international students.
To be honest your biggest problem is not going to be getting the theoretical training but rather the practical side. I used to get requests all the time from young lads offering to work for free for the experience, but we couldn't do it because there are liabilities involved with putting someone inexperienced on a live aircraft, and you would need to have an experienced engineer looking over their shoulder and telling them how to do things. The cost and time involved means 'free' labour would be anything but free.
To start the ball rolling you could try offering your services to a local flying club at weekends and see a year or two later if a contracting agency will take you on its books. You'll get all the crap jobs at first but you gotta start somewhere.
Obviously apprenticeships are the best way to go if this is your favored career path, but they are very competitive.