Hey there you score in nata is ulikely less to get a government colleges but you can apply for the following colleges in Kerala -

1. Bishop jerome Institute

2. Holy crescent college of architecture

3.  Calicut university

4. MES college of engineering

5. Vedavyasa college of architecture, malappuram 

6. Avani Institute of design, calicut

7. IES college of architecture, thrissur

8. Nehru college of architecture

9. SCMS school of architecture, emakulam

10. DC school of architecture and design, idukki

Good luck.