You have a better chance of being hired here, after you have legitimate paid work experience in your home country. You are in the same situation as thousands of other new graduate nurses around the world, and you seem to be trying to find a way to avoid this reality. Students in the US are waiting on average, two years to get into Nursing school, and 1-2 years after graduation, to find a job. the economy is bad the world over, all part time jobs are filled by Nurses who are trying to feed kids, Nurses who left Nursing, or retired, are coming back to work. Having no experience, your application goes behind theirs.
What would you do if you did NOT have a father and aunt in Qatar?
Another option is for you to try to find work at a non hospital facility in the Philippines, such as a retirement home, school clinic, embassy clinic, long term care rehab facility. This all counts as work experience. It is easier for an experienced nurse to change areas of nursing, than for an inexperienced nurse to be employed in a foreign country.

The bottom line, in my opinion, is that graduating, passing exams, and licensing qualifies you only to START your real education. Suck it up young lady, get back in line, and do it the real way. Ask your aunt about the concept of paying your dues in Nursing. If I were to review your application, with no experience, my first question would be 'What's wrong with her that she wanted to leave PI so bad, or that PI didn't want her?' To graduate, and leave immediately without experience, is counter to common sense, and common practice. There are no shortcuts, there is no substitute for legitimate experience. Not what you wanted to hear, I'm sure.
Good Luck.