Junior summer internship considerations for non-target business major

I've had good experience in investment management and am interested in getting an internship at a large bank or large investment group this summer. I honestly am not sure where to look at and what fields to consider based on my experience, gpa, and non-target school. I'm definitely interested in front office work and would likely rather go somewhere smaller and be in the front office than be in the back office of a BB but I just want people's opinions on what places/business areas might be most realistic for me to pursue.

Bio:
I'm a junior business & government double major at a small, non-target school (has small but consistent representation on the Street) interested in getting an internship at a large bank or investment group next summer. I had solid experience this summer doing two internships at two small shop wealth management and asset management firms respectively. My gpa is around a 3.2. I have some connections but nothing that could really help me much. And my career services is pitiful (everyone who's got to the street from my school has done it themselves). I really enjoyed both of my internships this past summer, especially the 2nd one where I was doing equity research at the Asset Management firm. Now I'm curious where people think I stand in pursuing my junior summer internship at a larger firm.