IMO, you need to get a job for at least half the summer, regardless of whether its with a judge, firm, or something else legal. You're coming from John Marshall, which is going to put you at a disadvantage with many of the big firms right off the bat, especially considering the other schools in the Chicago area. Add to this the fact that you may be relatively young (which really isn't that big of a deal) combined with the fact that you don't really have any work experience (which is a big deal), and you may have a difficult time landing a big firm gig for 2L summer.
Most 1L summer positions will be ok with taking a few weeks off at the end of the summer before school. I had a good 3 or so weeks before starting 2L (and I didn't ask for extra time, it was just when the internship ended). Hell, my 2L summer associate position ends at the end of July/first week of August this summer (our choice when to leave), and that's for people who aren't splitting.
Essentially, you really just need some legal experience on your resume, and a study abroad program isn't going to do it.