Off Campus Strategy/Consulting roles and approach as a T1 Commerce Undergrad (India)

Hi Folks, 
I'm an undergrad at SRCC, DU (about to graduate in 2027). My profile stands at 96/97/~8.5 for 10th/12th and grad scores right now, with decent PoRs across finance and consulting socs (some live projects with the same), and finally internships across a VC firm, a private credit firm and the most consulting-aligned one being at the back-end of an MBB. High chances that a return offer may not be received from the same as they're already overstaffed, but regardless of the same, I had been wanting to explore more front-end roles, or ones having a more direct impact such as strategy roles in large firms. 

Good on-campus roles are few (MBBK & DB/GS/MS, taking a total of ~10 hires though), with the others being either back-end or/and poor pay. I'm not looking for something way out of my reach, but rather a good launchpad for a future MBA which also pays me a respectable amount so that I don't need to rely on my parents anymore- would be a bit shameful and a told-you-so situation since I dropped their recommended career path of pursuing CA lol.

I just needed an insight on what would be the best approach to pursue off campus roles- cold mailing? chats over linkedin? and what could be some realistic roles and companies for me. The college network is known to be vast but rather unwelcome to help in terms of hiring, so wouldn't really rely on the same- while still trying to leverage the brand name of it as well as my workex.