At that price range you're going to find a beater car. Financing will be tough because with no credit many banks wont finance someone with no credit on a used car. Hell my parents tried to finance a one year old car with decent credit and the bank were like "ITS A USED CAR RAWR RAWR RAWR ITS SUBJECT TO BREAK WHY SHOULD WE FINANCE IT?" Was kinda screwed up.
You can probably find something decent for 1500-2000 We got an old 1996 Oldsmobile Regency 88 for around 2k and it lasted us for like 5 years before anything majorly wrong happened with it. If you're going to go on a budget that small just bring someone with you that knows cars like thoroughly who's willing to look at them and let you know if anything is really wrong with it. Also be weary of things where it's like "The part to fix it is only $15!" because that happened to my parents back in the early 90's. They bought an old GMC Jimmy S15 and the part to fix it was only $15 but to get to the part to replace it you had to take the entire engine apart so. . . yeah be weary of that. Also be weary of scams! Also dealerships will try to get more money out of you, they're all about the money. I'd recommend getting something older that is mechanically sound, like soemthing that maybe just needs tires and an AC or something. Something that only has the luxury items broken. That'll dramatically lower the price of a car. I'd also avoid manuals, you'll never know when something is going to need a new clutch.