With the degree of racial polarization in the state, there are very few swing voters here and thus it is very difficult to tell when the state will flip politically. However, a letter written by a political strategist a few years ago indicated that under current political conditions, Democrats' best places to make significant gains are suburban areas in and around major cities (e.g. the suburbs around Gulfport, Hattiesburg, Jackson, Memphis, etc.). It should be noted that although white voters with higher education vote more Republican in MS compared to most other places around the country, the Democratic vote share among this voting bloc is still higher than among white voters without higher education.
The fastest growing areas of MS are the suburbs of Memphis like Southaven and Olive Branch. These places are also very far right. These are mcmansions trying to escape "crime".