Hi Aspirant,

If you secured 20,000 rank in TS EAMCET , List of colleges you might get seat in Telangana are mentioned below.

• Vardhaman College of Engineering. Shamshabad,
• Vidya Jyothi Institute of Technology, Moinabad.
• AAR Mahaveer Engineering College , Bandlaguda.
• Vignana Bharathi Institute of Technology, Ghatkesar.
• Nalla Malla Reddy Engineering college, Ghatkesar.
• MVSR Engineering college, Nadergul.
• Malla reddy Engineering college & Management Studies, Medchal.
• Mahatma Gandhi Institute of Technology, Gandipet.
• Matrusri Engineering college, Hyderabad.
• Guru Nanak Institute of Technology, Ibrahimpatnam.
• CVR College of Engineering, Ibrahimpatnam.
• CMR Institute of Technology Kandlakoya,

This are the top and best colleges for engineering listed based on General category. As you belong to BC category. You will have some seat reservations in the above colleges. BC category students can have free seat (Fee reimbursement) is done on two factors.

• Candidate family income should  be less than 1 lakh.
• Candidate should secure rank below 10,000.

Based on this two factor you are not eligible for free seat. Hope you find this information helpful. All the best for admission. I have attached link below for TS EAMCET counseling process

https://engineering.careers360.com/articles/ts-eamcet-counselling

Thanks & Good Luck!..