Hello Aspirant.

Congratulations on securing this rank.

No AP LAWCET cutoffs for previous years are available anywhere so I won't be able to suggest you anything regarding the colleges that you can get with this rank. This a sensitive issue so I won't be guessing anything regarding this and give you false hopes. All I will say is this that you can shortlist colleges in such a way such that your options include colleges which are not the most sought after ones (example: the top 3 colleges maybe) as these colleges usually have higher cutoffs. 

Hope that helped.

All the best!