Thinking in “business terms”, price cutting is not what is going to get you projects. If you are on the right path, increasing your prices would probably get you more. It doesn’t matter how big or how small your business is, you have a marketing and a sales problem. Specially for remote work (essentially online freelancing) you are no different than the guy sitting in the most remote part of the world ready to sacrifice an entire year of his time with literally no break for $0.001 an hour (unless of course you know your client in person and already have a strong relationship).
So I would suggest forgetting about the service, the price, the market and anything else that is not marketing, brand building or real sales (by which I mean real sales work which takes up 10 hours a day).
Look at it this way: If you could suddenly press a button and get clients in the US to support your other ventures (that is generate revenue by doing nothing in marketing, sales or brand building), then why wouldn’t the other 230m+ people in north americas? And if you did manage to do that then why would you go do anything else because you’ve already cracked it!
We all have the same problem.