It is Mustahab to perform following acts in prayer of Tawaf with the intention of Rija’:
1- After reciting Hamd Sura, recites “Tawhid” Sura in the first Rak’at and “قل یا ایها الکافرون” Sura in the second Rak’at.
2- Praises and thanks Allah after the prayer and send Salawat for Mohammad (s.a.) and his dynasty (a.s.) and ask Allah for acceptance.
3- It has been mentioned in some of cabbalas that Imam Sadiq (a.s.) prostrated after the prayer of Tawaf and said:
سَجَدَ لَکَوَجْهِی تَعَبُّداً وَرِقّاً، لااِلهَ اِلاّ اَنْتَ حَقّاً حَقّاً، أَلاَْوَّلُ قَبْلَ کُلِّ شَىْء، وَ الاْخِرُ بَعْدَ کُلِّ شَىْء، وَ هاَنَا ذابَیْنَ یَدَیکَ ناصِیَتِی فَاغْفِرْلِی، اِنَّهُ لایَغْفِرُ الذَّنْبَ الْعَظِیمَ غَیْرُکَ،فَاغْفِرْلِی، فَإنِّی مُقِرٌّ بِذُنُوبِی عَلى نَفْسِی، وَ لایَدْفَعُ الذَّنْبَ الْعَظِیمَ غَیْرُکَ
And after prostration the face of his holiness were wet of tears.
4- It is also Mustahab that after the prayer of Tawaf and before Sa’y the pilgrim goes to Zamzam well and pours some water on his/her head and back and abdomen and says:
اللَّهُمَّ اجْعَلْهُ عِلْماً نَافِعاً وَ رِزقاً واسِعاً وَ شِفاءً مِنْ کُلِّ داء وَ سُقْم