Answered by Sayyidi Habib Umar bin Hafiz (may Allah protect him and benefit us by him)
What should we recite in the Rawdah or in front of the Ka’bah?
There are booklets compiled on supplications to be read at these times, such as al-Ḥiyāḍ al-Muṭṭahharah li Zā’ir al-Madinah al-Munawwarah and Zād al-Nāsik (both by Habib `Umar). [Zad al-Nasik may be downloaded from Habib `Umar’s website.
The recently published book, Ḍajīj al-Muliḥḥīn, also contains many supplications.
However, if Allah inspires you to make a certain supplication then this should be given priority.