Traditionally, the eldest son is the primary Karta (performer) for Asthi Visarjan, just as for funeral rites. In his absence, a younger son, grandson (son’s son), or even a daughter’s son can perform the ritual.
Yes, women can definitely perform Asthi Visarjan. If there are no male descendants, or if they are unable to travel or perform the rites, a daughter, wife, daughter-in-law, or other close female relative can perform the immersion with full rights and reverence. The key is the bond of love and the faithful completion of the duty. We see many daughters and wives performing this sacred act here at Prayagraj