I've not been on Long Island in over 21 years so clearly much has changed. In fact so has Hofstra's Stadium(and it's new name). The Pride used to be known as the Flying Dutchmen(which I still referr to them as).
But I have seen their facility on televised games. I don't even know if it can accomodate soccer, but I know the Long Island Rough Riders(PDL) play their games at St. Anthony's and some at Adelphi University. I remember when Mitchell Field was constructed.
I've also seen the stadium that Columbia Univ. calls home, that is so old that that should not even me considered(imo).