Agreed that you should look into your school's OCI program; many schools that are T1 (not sure about below) have 2 rounds of OCI - early OCI in August, often before classes start, and usually has the big firms, and then later in the fall for more local/smaller employers.
You also should be talking to your Career Services Office to get tentative dates for other job fairs. For example, in the southeast, there's several job fairs that occur over the summer, with resume drops in (IIRC) early July. One is SE generally; there's an IP fair, and a couple others. So look into those.
I'd suggest either volunteering somewhere you're passionate about or else taking the time to apply for jobs and/or relax. I'd probably do the latter, as I think next year's OCI is going to be brutal - unless things pick up much more quickly than expected/hoped, there will not be much change for the better in the legal market.