Hi, it's good that you have predicted your rank before the announcement of UPSEE result. According to your rank i.e. 360 marks your rank most probably will range  in between 10k-15k. And under this rank I have no doubt that you will surely be able to get best colleges under AKTU. I'm also mentioning some of the colleges for your easy convenience. below is the list of those colleges;

• Bundelkhand University, Jhansi
• Chhatrapati Shahu Ji Maharaj University, Kanpur
• Dr. Ram Manohar Lohia Awadh University, Faizabad
• Galgotias College of Engineering and Technology, Greater Noida
• KIET Group of Institutions, Ghaziabad
• Ajay Kumar Garg Engineering College, Ghaziabad
• JSS Academy of Technical Education, Greater Noida

Etc.

For more you can predict your college by your own with Careers360 College Predictor Tool(link mentioned below);

careers360.com/upsee-college-predictor?ici=cp-listing_root&icn=UPSEE-College-Predictor

Good Luck.