How do I get an apartment in the USA with limited funds and no US address for a credit check?

Ok, new here, but I need to ask about my situation. I was born a British citizen but legally moved to the USA as a child. I stayed until I recieved my citizenship and then returned to the UK for personal reasons. I really miss my home country, and I know that I have the right to return, but I have no idea how to go about it. I left before I turned 18, so I have no remaining ties to the country other than my passport. My mother lives in the USA, but it is not desirable to move in with her. I have no credit in the US to apply for an apartment. I have enough money for flights, a couple of weeks in a hotel, and a large security deposit, but on all of the apartment websites I have visited, they require a US address or a credit check. I know this is probably daft, but I am only young, so I don't know how you can move to a country with no rental to move into. Please help, I am so homesick and need to figure this out.