Among MEASI Academy and NIT Trichy, the latter will be a better choice due to its better facilities and rankings. Here are some of the things that make NIT Trichy a better choice. 

NIT Trichy is a Govt college and has an international reputation. However, the faculties at NIT Trichy are less in number. Although the institute has been recruiting more faculty lately. 

MEASI on the other hand has a good faculty base and a locational advantage as it is situated in Chennai. 

If you are interested in pursuing B.Arch then choosing NIT Trichy can be a very good option as it is a government college holding a strong reputation and the facilities you will get are excellent too.