Budget integrated with phono preamp

I have a young friend who has a passion for music and a desire to get into vinyl. She is, like most millenials, on a tight budget. Her father gave her a U Turn turntable and I gave her a pair of Elac B6 speakers. She is now shopping for an integrated amp with a built in phono stage either new or used and has a maximum budget of $250.  Her apartment is tiny with her lving / kitchen area less than 220 sf 

Can anyone suggest some options, especially something she will not grow out of right away. Should also be able to accomodate some sort of digital format via phone or streaming device. 

Thanks in advance.