OP I want to chime in that this is a risky thing to do on your own. Saudi Arabia is not the place to relocate for employment without some sort of company or government sponsorship and protection. What will happen if you get ill or are injured? What will happen if things go south with your family? Foreigners often feel that the restrictive laws against women don't apply to them there but they do. If you are on your own, you will potentially have even more difficulty with these.
Dubai is in the UAE, about 750 miles from Saudi Arabia. Think twice before giving advice about places you clearly know nothing about.