Hello Raghav! Well done on your accomplishment. I think you have the following options based on your ranks:

1. JEE Main Rank 5764 (General; Karnataka): CSE at NIT Trichy or Warangal is difficult at this rank in General. The good news is that you can get into NIT Surathkal CSE through Home State quota. Surathkal is one of the best NITs for CSE and is at par with Trichy and Warangal in terms of placement.
2. KCET Rank 165 : This is a good rank. You should be able to get CSE in any of the top colleges in Karnataka - RVCE, BMSCE, or MSRIT. These colleges also have good placements and reputations.
3. VITEEE Rank 605: With this rank you can easily get CSE at VIT Vellore (including preferred categories). But, NIT Surathkal and top KCET colleges (RVCE, BMSCE, MSRIT) have generally more reputation than VIT.
4. JEE Advanced and BITSAT : If you do well in JEE Advanced, then old IITs or IIT-Hyderabad would be worth targeting. BITS Pilani CSE is also a very good option, it is as good as old NITs and better than some IITs.