Is it permissible for committed women to adhere to a practice after completing the tawaf, by analogy with men?

Ibn Majah narrated from Amr ibn Shu'ayb, from his father, from his grandfather, that Abdullah ibn Amr pressed his chest, hands, and cheek between the Hajar (Black Stone) and the Door (of the Kaaba), and said, "Thus I saw the Messenger of Allah, peace and blessings be upon him, doing." Al-Albani graded it hasan (good). The fundamental principle is that women are like men in religious obligations, unless it leads to crowding with men and the occurrence of fitna (temptation/disorder), in which case they are prevented from it to avert fitna.