It would probably be a good start to call the local Housing Authority . There is also a website GOSECTION8.COM that has listings. I do not know how the MLS system in Flour Bluff is in regards to Section 8. Here in Dallas, it is not always indicated. thaty being said, there is usually someone in local areas that specializes in Sec 8.
There are many great areas of Corpus Christi that are good to settle down in. The longer I live here the more I discover all these little pocket areas that are fabulous! Give me a call so we can figure out what style of neighborhood and home fits you best.