Tier2 bank Restructuring - small and middle-sized firms?

I'm doing a summer internship in the UK for one of the biggest British banks. It will be in a restructuring group that deals with toxic debt from 1-20 million £. I will be working solely with the bank's own clients.

My question is if it would be more reasonable to break into either LevFin/DCM in a BB or a top restructuring firm?

I'm a little worried about what BB's/restructuring firms think about working with small-sized debt. Graduate pay is very good and also includes bonus, and I've heard from earlier interns (it is a small group though) that you will exposed to alot of client contact and modelling.

From my cold calling/mailing, it would seem pretty easy to get a Big4 restructuring job, but I'm more interested in working for a banking or a top restructuring firm.

Thank you!