I attended Georgetown, which you may be describing. As far back as I attended (late 90s:early 00s) there was a business co-Ed frat and a service frat. It may have expanded now, but I didn't know very many people involved. I'm assuming the business frat was good for making connections after graduation, since it was before the time of LinkedIn.
I would suggest your dd join several clubs that match her interest, that she join some of the retreats that her university may offer for freshman, and that since she's in an urban area, she make an effort to get off campus with internships and the like. It will make her experience rich and diverse, and hopefully she will find a good group of friends.
Basically get out, and get involved. She doesn't need a Greek system to have a good college experience.