I am at a top 25 law school, so way outside HYS. anyway, my friends had mixed results with firms there first summer. The IP guys all seemed to get firm jobs. Only one of the others had one his first summer in a major market (he had a 4.0 his first semester). Another got a big law job in a smaller market. So, basically, apply anyway. I did a lot of email applications for firms, and whatever. I didnt get one (I was top 15%). However, one firm invited me to skip screening interviews the next summer and go right to callbacks, and I ended up with an offer for my second summer from then.
So, take a risk.
Dont call them or say you will call them. It is creepy and most likely they dont want you. If for some reason they did want you, they will call. I bet you get one or two interviews out of it if you are in a decent position in your class. A lot of firms like to do screening interviews with 1Ls just so they get a feel for the firm and want to come back the next year.