Start a FT role at an "irrelevant" role first? Or quit to concentrate fully on finance recruiting?

Recent graduate here, I've completed a mix of consulting and finance internship positions, including an HF internship for my final year with a relatively sizable fund ($X b). I received a return offer from the HF, but ultimately rejected it with a heavy heart (I can't share why here, but it was not over something trivial).

I've known all along that I wanted to pursue a career in finance, however, given the relatively non-linear nature of my experiences, I ended up trying for both finance and consulting roles.

Early on, I did receive an FT offer from a relatively no-name boutique consulting firm, which is scheduled to start soon. Would it be a good idea to do an irrelevant FT job in the no-name consulting firm first, while continuing to apply for finance jobs in the meantime? Personally, if it were up to me, I would not have taken the role, because I do not want to come across as extremely indecisive about a career in finance and cause this role to jeopardize my chances.

However, my folks have been putting lots of pressure on me to start ANY FT JOB ASAP since graduating, concerned that I will be unemployed for an extended period of time. I've been pushing hard against this as best as I can, but this has made my job search even more exhausting. 

Thanks to the most recent internship, I've landed a number of early interviews for a few finance roles. While I am reasonably confident that I should be able to land a finance role eventually, these processes are going to take time and the other role would have already begun. I'd really appreciate any advice you guys might have at this stage. Thanks!