This is one of the toughest choice that an aspirant has to make during JEE counseling.
NIT Trichy is one of the oldest NITs of the nation where as IIT Indore is a 2008 generation IIT , so in terms of alumni network you will get it better in NIT Trichy.
But IIT Indore is one of the fastest growing IIT right now, so you will get a lot of opportunities as well.
So you will have to weigh between these two and see which suits you better along with the location benefits.
Hope this helps. All the Best.