Yes, your nationals should be able to help you form a local or chapter-specific housing corporation. There are also consultancies that work specifically with Greek organizations on housing development, capital fundraising campaigns, alumni giving, etc.
I wouldn't worry too much about finding an actual house. From what I've seen, there's been an ongoing carousel of fraternities and sororities owning or renting the same structures on campus for decades now. When one group (fraternity, sorority, even an organization like Hillel or campus ministry) gets kicked off of campus or folds due to attrition or what have you, another group moves right in and takes its place.
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