SDT hasn't participated in Bama's formal Recruitment for probably over a decade now. They haven't been in their house for quite a while either, though I can't recall exactly when that occurred. They simply do not have the numbers to financially or physically support either.
We all wish this would change, but honestly it would require several years of substantial growth to get them to the point of doing either. According to
UA's Greek Life Sorority Growth Report that isn't happening.