Are there any construction management courses offered in India apart from NICMAR and Amity's RICS?

Construction management is offered by IIT Delhi, IIT Madras, and NIT Suratkal. The course name may not be exactly construction management, it is Construction Technology and Management in IIT D and Building Technology and Construction Management in IIT M. You can get into these programs through GATE.

Also, if you are in the final year of B Tech you can get into IIT D, IIT M, NIT Suratkal, and NIT Trichy through the Build India Scholarship of L&T construction.

There are no other prestigious institute that offers construction management courses