ER graduate analyst job at a no-name shop vs. Summer Associate at BB

Here is the question guys.

Graduated almost a year ago as a postgad from a top uni in a non-finance subject and have had trouble securing a full time role. Since graduation, I have worked in a BB for off cycle internship and also a midmarket firm in IBD.

Now, though semi-hypotheical, but would like to see you guys opinions. If you were offered a full time role in ER in a not so prestigious firm at entry level but at the same time you have an internship at a BB at the Summer Associate level, which would you pick?

Assumes mutually exclusive as start date would overlap. The latter clearly would save 2-3 years, but no guarantee of a job after. The former essentially rules you off for moving to a BB later and start from ground bottom, but nonetheless its a full-time.

What do you guys think? Is the risk worth taking for a potential big reward in rank jump at a top firm, or risk aversed approach and go for a no-name shop full time?