Unless it is in a flood zone, it would be eligible. There is no mention of ineligibility due to the fact that the community is non-participating:
A Property is not eligible for FHA insurance if:
a residential building and related improvements to the Property are located within SFHA Zone A, a Special Flood Zone Area, or Zone V, a Coastal Area, and insurance under the National Flood Insurance Program (NFIP) is not available in the community; or
the improvements are, or are proposed to be, located within a Coastal Barrier Resource System (CBRS).
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