My first suggestion would be: don't count on a game designer position straight out of college. Many studios see Game Designer as an advanced position in the company, and I can't think of a studio that doesn't require their Game Designers to not have shipped at least 3 titles.
My second suggestion is based on the first: investigate a more general, entry level aspect of game development such as Associate Producer, Level Design, Programming, Environment Art, Character Art or Animation. Level Design, given your desire to be a Game Designer, might be your best bet if you have some experience with Art and Programming.
This is what I would recommend, as a Game Designer:
1) Purchase Dragon Age and all of its DLC
2) Download the Content Tool Set
3) Begin creating your own modules for others to download and become part of its mod community.
The game industry is definitely a meritocracy to get a position. If you can provide modules to developers when you apply for a position, and show what you can do, that goes a lot further than a slip of paper.