It is possible to solve TT issues, if there is a will. Anyway, I give another option. MAS 0630 SBC 1215 MYS 1430. Then leave MYS by 1500 SBC 1715 Salem 2145 via HSRA. Next day leave SA by 0600 SBC 1030 MYS 1245. Leave MYS 1315 SBC 1545 MAS 2145.
Advantages include a daily daytime ICE connecting MYS SBC to Salem. Also name Brindavan gets justified only when it touches Mysore.