There is no way to obtain the legal authorization without employer's assistance, other than getting US residence through family ties. So the best way for you is to first get employers interested in you, enough to apply for a work visa.
A budget of $1000 a month will be a good start, depending on your lifestyle and area where you want to live, said Pinay Mentor in her article, Retiring and Living in the Philippines for expats, non-expats and returning Filipinos.
1 Cost of living in Kigali is 9% cheaper than in Addis Ababa. 2  Cost of living in Kigali is 16% more expensive than in Bangalore. 3  Cost of living in Kigali is 35% cheaper than in Barcelona.  Cost of living in Kigali is 193% more expensive than in Juba.