With a non-local rank of 5,700 in TS EAMCET, you have a good chance of getting a CSE seat in mid-tier colleges. While top colleges in major cities may be difficult to get, you can expect a seat in well-known colleges outside major cities, or those with lower cutoffs. Some of the options could be in colleges like CMR College of Engineering, Vardhaman College of Engineering, or others that offer CSE, based on the counseling process and cutoff ranks.