The only Southern Baptists I know are in Founders Movement churches, so they probably do not fit your view of "traditionalism". When I was searching for a church after moving to Central Florida, I did a lot of online research (reading doctrinal statements, vision statements, and listening to online sermons) and also visited quite a few churches. You find out a lot of good information by observing and asking questions.I have by far the most problems with "traditionalism" aka the mutt theory held by most Southern Baptists.
Although my father's ancestry traces its bloodline back to the Scottish Reformer John Knox, I was raised by my mother's side of the family which was Italian Roman Catholic. I never entered a Baptist church until I was 23. That church was affiliated with the C.B.A. I moved to Maryland after getting married and was a member of an A.B.A. church for 10 years before becoming part of a church plant. That church plant eventually became a Reformed Baptist Church. Nowhere along the line did an S.B.C. church come into the picture. I had this caricature in my mind of an S.B.C. church in which they identified as a Southern Baptist first and a Baptist second. I have had Southern Baptists tell me that caricature was spot on. I can only take their word for it because I have never found out for myself.
I like to deconstruct things down to the lowest common denominator. So, when discussing the different views of predestination/election and the will of man, I conclude that there really are two governing theological models, and all views fall into one or the other (but not both). The first model is Monergism and the second view is Synergism. Some posters on this board reject both models because they view them as pejoratives; an attempt by the one using them to criticize the view they disagree with. There may be some truth to that on an individual basis but that does not negate the truth of the theological models. So, if someone rejects the Calvinist label but believes in Total Depravity, Unconditional Election, Limited (Definite) Atonement, Irresistible Grace, and Perseverance of the Saints then they hold to the Monergistic model. Conversely, if someone refuses to be labeled an Arminian but holds to Conditional Election, Resistible Grace, General Atonement, and the ability to lose one's salvation they are a Synergist. Those terms are not pejoratives unless that spin is placed on them.