IIT

With 150 marks in Advance you can expect IIT-Dhanbad, Bhilai, Ropar, Jammu and Goa. I would suggest IIT, Bhilai because of the incredible progress of Bhilai.

You are advised to appear for JEE Mains to qualify to appear for JEE Advanced to seek admission in aeronautical engineering at IITs. With JEE Mains & Advanced scores you can also seek admission in other prestigious engineering colleges such as IIST, PEC University which offer aeronautical engineering degree courses.

Unless you want to go by brand name of IIT, NSIT is a better option for BTech CSE in comparison to IIT Dhanbad.

IIT Bombay is best and ranked no 1 CSE Institute in India. You may refer to following link for list of top CSE colleges in India: https://www.shiksha.com/b-tech/ranking/top-computer-science-engineering-colleges-in-india/46-2-0-0-0

The purpose of Sainik Schools is to help students achieve high level of physical, mental and intellectual achievements required for induction into the officer cadre of the defence services. Government of India has subsidize your education and provided you best educational environment. It will be unfair to common tax payers of India who paid for your education if you do not appear in NDA exam conducted by UPSC with full preparation and motivation.
I leave it your moral ethics to take a decision on whether you want to appear in NDA with preparations or put your soul in cracking JEE.

1. Anugraham Classes
2. Gurukulam IIT academy- coaching centre
3. TRS IIT CLASSES
4. IITMBBSMAKERS NEET Medical /IIT JEE Coaching Centre
These are good apart from Resonance and FIITJEE.

You can refer following colleges:
BITS Pilani
Thapar University
VIT University
SRM University
KIIT University
PEC University
Graphic Era University
Manav Rachna University and many more.

FIITJEE is the best coaching for IIT preparation than Akash but you may go through Resonance coaching as it is the best.