Be careful not to box yourself into a concrete search term for your topic. Think of synonyms for your subject - broader terms, related terms, and narrower terms. Using this strategy will guarantee a wider selection of materials. Be aware, too, that some search terms may be uncomfortable to think or say out loud - but could yield possible results.
The term Middle Eastern is extremely broad and encompasses a variety of geographic areas, experiences, cultures, and identities. To help broaden and narrow searches, consider countries (e.g., Syria) as well as national identities (e.g., Bahranian). Familiarize yourself, too, with book awards specifically for Middle Eastern titles, like the Arab American Book Awards.
Possible search terms: Iranian, Arab American, Egypt, Syrian, Israel, Persian, Arabian, Palestine