Laid off from REPE, taking CFA L2 in June

So I got laid off from an REPE gig in January, then decided to travel around in February. I'm also slated to take the CFA level 2 exam this June which I have already invested a lot of time in.

I was wondering what your thoughts are on taking an unpaid internship for 3 months at a boutique investment bank (not well known but they have several offices in the US and some in Europe for what it's worth). From what I understand I would be doing business development and maintaining client databases and stuff and it wouldn't be very time consuming or stressful. I was thinking about physically being there for 12+ hours of the day so that they can reach me if needed and during down time I would be able to do practice CFA problems and get familiar with their financial models. This way I can prepare for my exam and also get some experience to talk about during full-time interviews and such.

Full-time wise I would like to get into fiancial securities investment (the usual things WSO readers get wet dreams about: HF, PE, IBD) over commercial real estate investing. But wouldn't mind working in real estate again.