Hello!

No best Engineering College provides admission without entrance exam. In Indore, most of the engineering colleges considers JEE Main scores to provide admission. If you are willing to appear in JEE Main and try to get high to moderate scores, then good colleges for you are-

• Shri Govindram Seksaria Institute of Technology and Science
• Institute of Engineering and Technology Devi Ahilya Vishwavidhyalaya 
• Acropolis Institute of Technology and Research
• Institute of Engineering and Science, IPS Academy
• Institute of Engineering and Technology
• Symbiosis University of Applied Science- Admission is based on SSU entrance exam
• Indore Institute of Science and Technology

For more details refer to the site provided below-

https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-indore