Last year, my friend was in a similar dilemma and decided to seek help directly from a PhD student at IIT Indore. Surprisingly enough, the fellow's first question was if I had other options.
He explained that the CE branch here is new and lacks credibility yet. The labs aren’t well established and the seniors are equally clueless about the future. This helped my friend a lot as he then switched to IIT Patna EE and to date, he hasn’t regretted his decision even once as it is one of the best UG branches of IIT Patna.
Lastly, don’t give up on IIT Indore just because it is in Patna. Irrespective of whichever city it belongs to an IIT will serve you the best!