Most conservative theologians are OEC. Most of the Biblical scholars that are YEC do not think that the Bible itself requires a YEC position. There are exceptions, but the general pattern is OEC.
Their concerns are different than you imagine. They are not as concerned about Genesis as they are about (1) Romans and (2) historic confessions. The work on genealogical Adam is important because unequivocally demonstrates that evolution does not require (thought it does permit) revision of Paul’s teach on Adam in Romans or revision of the historical confessions. No matter your personal position on these points, that has very high ecclesial value.
This is a very strange requirement. There are a lot of things we believe that are not “supported” by scientific evidence. Why do we need to have scientific support for something that is demonstrably unobservable?