I do not think it is really possible for several reasons ...
#1 I do not think the Cajuns will have the requisite RPI
#2 They were not conference champions (and finished 3rd) ... I believe this to be a near requirement for a non-elite conference in the present day of D1 college baseball.
#3 Their record vs. the RPI Top 25 and Top 50 is subpar relative to hosting peers
I do not think the Cajuns would be #1 seed and host-worthy in any category, much less the number of categories that would be required to seriously be in the discussion for a host regional.
In fact, I think South Alabama has a very slim chance, even if they win the SBC tournament. Not because they would necessarily be lacking the resume (though their record vs. the RPI Top 25 and RPI Top 50 is quite poor) ... but because of the need for sites in other regions. I do not see the NCAA not giving a host site to Indiana. I also think Kansas State is an excellent choice (Big XII champion) and has a better resume than South Alabama. The same goes for UCLA and I think the NCAA would like to have four western regionals. There is a chance that Clemson could fall far enough to lose a host regional (leaving the ACC with 4 instead of 5). But right now, they are in. In my mind, there are only two or three host sites up for grabs ... and they look to be going to Clemson, Kansas State, and UCLA.
I also never bought into Arkansas being a serious contender, despite their conference finish ahead of Mississippi State and series wins over Mississippi State and South Carolina. They refused to play on the road and the NCAA will penalize them for it ... as the RPI did.
We will probably talk about some of this on Scott's show tomorrow or Wednesday.
Brian