NATA

With BMS College, it will likely not be possible as the no. of seats are limited and there are lots of reservation and other categories which left a handful of categories for the General students . Also, it accepts only NATA scores and with the mains scores mentioned, the student is likely to get into one of the NITs be it Bhopal NIT, Kozhikode NIT and Calicut NIT.
Best of luck.

Kindly refer to my answer on the same question:
https://ask.shiksha.com/with-186-marks-in-jee-paper-2-and-nata-score-97-can-i-take-admission-in-mnit-bhopal-i-belong-to-general-category-qna-4807625
Note: If you are not eligible with home state quota, then it will not be possible at least till the 4th round of counselling.
Best of luck.

Though your marks are almost around MANIT B.Arch, you'll likely to get admission in second round possibly with hoem state quota.
Some recommedations are:
NIT-Bhopal, Calicut, Hamirpur, Jaipur, Nagpur, Patna, Raipur, Rourkela, Trichy, Kozhikode, Vnit. SPA - Vijayawada, Bhopal, Delhi, Bhopal. Mizoram University, Aizwal and IIEST Shibpur.

You can't get any government architecture college through your JEE score as it's really low, but you may try CEPT Ahmedabad, MS University Baroda, IP University or Vaastu Kala College through your NATA score.

Yes, you can get a seat here as the cutoff remains near 120-130.

Candidate should have:
50% in 12th and the NATA Marks - 80/200
Other eligibility criteria:
Candidate must have passed Diploma 10+3 in any stream recognized by central/state Government or its equivalent examination with minimum 50% aggregate (at least 45% marks in aggregate in case of candidates of Backward class categories and persons with Disability belonging to the Maharashtra state only).

You have a good score in mentioned exams but the admission will be made through CAP-based score obtained in National Aptitude Test in Architecture (NATA).
For more information, please visit the link given below:
https://www.shiksha.com/college/rizvi-college-of-architecture-bandra-west-mumbai-22909/admission

You have very good marks but for admission, you have to appear in counselling procedures.
Admission is through counselling conducted by Directorate of Technical Education, Maharashtra based on marks obtained in 10+2/ Diploma and score obtained in National Aptitude Test in Architecture(NATA).
Selection parameter and weightages:
10+2/ Diploma marks - 50%
NATA score - 50%

Hello Puneet,
You can take admission in Aditya college of architecture based on the NATA rank.
The admission is based on the state-level counselling procedures.
For more information, visit the link below:
https://www.shiksha.com/college/aditya-college-of-architecture-borivali-west-mumbai-54063/admission?course=292800&stream=12

Hello Chinmay,
There are lots of colleges in Karnataka for B.Architecture. And you have very good marks in JEE also in NATA or in 12th board exams. So you will easily get admission. Please visit the link below for colleges in Karnataka:
https://www.shiksha.com/architecture-planning/colleges/colleges-Karnataka