Awesome combination.
I would still go with Drexel. It's bordered on the west with West Philly, and the frat houses mix into a city residential neigborhood. Center city is only 15 blocks east. The train station is right there so you can get anywhere fast - Septa, Amtrak, or the airport line to the world. It's diverse and interesting and just safe enough to walk around at night.
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