Well, since nobody is answering.....
I used to travel to Shreveport for work occasionally (GM has a plant there).
I don't know anything about the CF care, but the community is not bad.
It is a 'poor' region and the town is fairly old; but from what I remember Barksdale looked better than average for an older AFB.
There is not a lot to do that I remember finding, other than Bossier City (sister city to Shreveport) has a large casino collection which brings in people. It has been about 5 years since I have been there so things might be somewhat different.
As long as you can take life at a slow pace I think you will be just fine. Plus you will have the resources of Barksdale.
One note: if you have issues with LA State, Shreveport to Dallas is abt 3 hrs by car so you might have a 2nd option.