When I first heard the circumstances of this case (missing jogger, then found murdered off the side of the road in an undeveloped subdivision, then details of strangulation, etc.), my initial reaction was, "Random stranger, sexual assault, DNA will catch perp eventually."
Unfortunately, much of NC and BC's "dirty laundry" has been aired in the process.
In order to protect the children from any further disclosures from now until the case goes to trial (with any suspect, as I am in the SODDI camp until evidence indicates otehrwise), it would seem that staying temporarily with NC's family--with liberal private visitation with BC--would protect the girls the best.
Once the case is over, and the criminal sentenced, if BC is not the one who did it, he should immediately regain full custody of the children.
If they remain in NCarolina during this process, there is too much chance of the media glare causing them harm, IMO.
We shall see, of course.
Does NCarolina have "guardian at litems" AKA court appointed independent parties looking out for the best interests of the children?