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.
Our monthly expenses living near Iloilo City. We find that, with care, we can live fairly well in Iloilo City on about $2,000 per month. We own or own home so no rent is included. The main cost of living questions you need to adjust for are: 1  Prescription drugs and medical care.