It might be that you haven't looked in enough places that list job offerings, but for some areas there really just ISN'T much listed. Every time I look, no matter what resource I go to, there are very few listings period, and most require 1-3 yrs of experience and some explicitly say new grads unwanted. Big part of my problem is that I'm location restricted, but I've heard the same complaints from others who aren't as well. Periodically, I'll check vin classifieds, indeed, state VMA, AVMA and board website of the specialty I'm interested in, and I really just haven't seen much.
I've been told to keep my head up because the openly advertised positions aren't the only ones available. I'm trying to hold onto that because freaking out about it now isn't very helpful either. I'm really hoping to maximize my chances by getting to know several private practices during my rotations and summer, with the idea that they might not necessarily lead to jobs but at least I'll be networking in my target area of employment.