| Lots of engineering companies will cover housing or give you a housing stipend to cover those relocation expenses for the summer. You'd probably want to find a summer sublet, where you'd be renting the apartment from the person that's renting it. Those usually aren't hard to find in any sizable city, and if it's a large enough company, they sometimes even have their own apartments they'll put temporary employees in.
My girlfriend is going to be interning at a company this summer, and they'll be paying for her apartment, a rental car for the whole summer, and her airplane ticket to and from their location. | 
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