Breaking into Impact Consulting/Impact Investing in India?

I have a Bachelors in Economics (non-DU) and have been working in Political Consulting. I have FTE of 9 months. I tried Samagra and Sattva last year but it did not work out (I understand Samagra is Governance consulting but my point still stands). I've been trying to break into Sattva Consulting because I think my profile is genuinely suitable and the role lines up well with my future goals (MBA/MA a few years down the line) but from what I heard only referrals work right now and no one seems to be willing to refer.

Firms like FSG/Bridgespan seem to never hire off-campus. Impact Investing firms only takes in IIT/SRCC with CFAs. I'm at my wits end.

Does anyone here on twoxindia who work in this field have any inputs? I'm at my wits end as I want to leave my current job and pivot (the pressure of supporting my family is a tale for another day).