Allahumma Eemaanan Bika Wa Tasdeeqan Bikitabika Wawa Faa am Biahdika Wa Ittiba an Li Sunnati Nabiyyika Muhammadin Sallallahu alaihi wa sallam.
If there is such a rush that kissing Hajr Aswad is not possible, then touch it and kiss it; if this is not possible then touch with a stick, etc and kiss it and if even this is not possible then raise the hands in that direction reciting:
Allahu Akbar La Ilaha Illallahu Wal Hamdulillahi Ta’ala Was Salaatu ‘Ala Nabiyyihil Mustafa Sallallahu alaihi wa sallam.
Kiss the hands, with certitude, as if you have touched it with both hands. Kiss it without a sound.
Then with the Idhteba’a and Raml walk towards the right side.
While performing Tawaf, recite whatever Du‘a you remember. When you return to the Hajr Aswad, one round of Tawaf is completed. In this way, perform 7 rounds and keep performing Istelaam. After completing Tawaf, move towards the Maqam Ibrahim reciting the following verse of the Holy Quran:
Wat Takhizu Mim Maqami Ibrahima Musalla
Near Maqam Ibrahim offer 2 Raka’at. In the first Raka’at, recite Surah Al Kafiroon and in the second Raka’at, Surah Ikhlaas. As per Hanafi school of Fiqh, these 2 Raka’at are Wajib. If there is rush near Maqam Ibrahim, then offer it wherever possible in the Masjid Haraam. If it is the time when Salaat should not be offered (the Makruh time for Salaat), then it should be offered after this time ends.
After this come near the Multazam, the place between the door of the Ka’aba and the Hajr Aswad. Extend both hands and place your chest, stomach and the right cheek to the wall of the Ka’aba and keep making Dua.
After this, turn to the Qibla and drink Zam Zam as much as possible. This time is also one of acceptance of Dua. The Holy Prophet (Sallallahu alaihi wa sallam) said: Whatever purpose Zam Zam is drank for, that purpose will be achieved.