Hi Lucan,
FWIW, I seem to remember that Rutgers participates in a consortium/exchange that allows students to take courses at other schools in the area (e.g. Princeton, NYU, Columbia), which might help you to build contacts and expose you to other scholars than those just at Rutgers. And isn't Matthew Fox (who's just published a new translation of your namesake) there?
If you like the school and think you would have someone there to guide you through a dissertation, I see no reason not to take a fully-funded PhD offer now. Sometimes a smaller program can work out better in the end when it comes to placement -- Princeton/Harvard may have name caché, but they also have 4-5 students to get jobs for each year, which makes it hard to stand out. Can you ask Rutgers about their success rate for PhD grads?
But I agree, check with your professors for advice.
Good luck (and congrats!)
Ogulnia