Considering my interest in Finance and a prior IT work experience of 2.5+ years, what should be the preference for me among IIFT Delhi, NMIMS Mumbai, and new IIMs (IIM Ranchi/Trichy)?

I believe that the roles available in the finance sector at NMIMS are readily equivalent to those at IIFT, if not superior. Mumbai's location is quite advantageous for the institute. During placements, a sizable number of finance companies visited the campus. 

However, there is fierce rivalry for these positions within the class, particularly among those who studied business as a major in undergrad. This is why it can be difficult for engineers pursuing an MBA at NM to be shortlisted for financial positions because financial institutions prefer to interview candidates with backgrounds in commerce. However, getting on a shortlist for financial roles becomes simpler if you are able to pass one or two levels of CFA or FRM.

In terms of financial roles, NMIMS = IIFT > new IIMs