The only way I got around this was by building my own platform that brought in clients. I teach the LSAT, and chose to live in Montreal. It's French, not a major city for English speaking law school admissions.
NYC is the major market. I would have been booked solid if I lived there. But I likely also would have hit a local maximum, doing lots of $200 an hour tutoring and teaching $1200 classroom courses.
Instead, I had to develop products to reach students in the USA. Eventually ended up taking a page from Michael Hartl's business model and released a version of my books here:
http://lsathacks.com/explanations/
Now a lot of people find my site and I get tutoring requests organically. I'm about to do nine hours today (I just consult Saturdays).
Not everyone should do this of course – it's a lot of work to create your own product or marketing platform. Local work of mouth and advertising is SO much easier.
But for anyone considering a transition abroad, think about reaching prospects who google solutions.