As in much of Protestantism, there is much protesting and not much consensus. Because of their strong belief in congregational autonomy (mentioned in the SBC's positional statements while the resurrection is ignored), many Southern Baptists are left to decide for themselves what they think the resurrection will entail as it's not seen as critical a point as things like congregational autonomy, soul competency, and baptism by immersion.
The June 2014 issue of SBC Life affirms my evaluation:
Amillennialists and premillennialists of every variety coexist in all
realms of Baptist life, with proponents of each position affirming the
inerrancy of Scripture and hardly anyone regarding differing positions
on the millennium as an obstacle to cooperation in missions,
theological education, evangelism, or cultural engagement.
In my experience in the Southern Baptist church, the prevailing opinion is that the death which (nearly) everyone experiences involves the transition from a sinful, earth-bound being to a sinless, 'spiritual' being in the presence of God.
As mentioned previously, there is no consensus opinion on the second coming (including the resurrection) because it isn't central to Baptistism. Many Southern Baptists interpret St. John's Revelation to mean Christ will destroy all His creation in favor of sustaining them (Southern Baptists) as incorporeal beings. This belief enjoyed enough popularity to cause NT Wright to write a book against it.
According to my Southern Baptist, undergraduate education, they also have an opinion of the second death. It is not, they say, related to any manner of transition but rather a termination of all comfort and pleasantries as they are sustained by God to the ages while being tortured for rejecting Him. They believe the damned are eternally consigned to rebellion against God with no hope of escaping His unimaginable torture.
Unfortunately, I believe any answer on this front is of limited use as I am certain there are Southern Baptists who disagree. This is a reflection of my personal experience and opinion that Southern Baptists are less likely to be concerned with the resurrection than with doctrinal issues such as the perseverance of the Saints, Christian exclusivism, Biblical inerrancy, and predestination.