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I live just a few blocks away from the complex, and get similar questions pretty regularly. Yes, HISD shows zoning to Bellaire HS, which is a primary reason why units aren't offered for sale very often. Owners are savvy, and have no problem renting their properties to individuals with cildren of high school age. What they often do is list their units both for sale and lease, and accept whichever situation materializes first. At the moment, there are no active listings in the complex ...not surprising, since school is about to begin again. There's no telling how many "insider" sales there have been, since most are handled privately, and therefore not listed in MLS.
I trust that I've answered your questions. Please note that I know the area quite well, having lived here for years. You could well have other options. If I can be of further assistance, please feel free to contact me ... (713) 213-6350 or firstname.lastname@example.org. I wish you well with your search.