I'll give a different slant on the "pick any IT job".
I have had several people work for me who I hired for X, and who wanted to do Y and thought that was a good path. More cases than not it led to one or both of us being dissatisfied. If you decide (for example) to take a job as a PC admin thinking it will be a foot in the door to DBA work, better be prepared to be a damn fine PC admin or all you end up with is with your first employer unhappy with you.
Your best bet (in my opinion) for success at such a tactic is in a very small company, or a very large one. Where small everyone has to do a bit of everything, where large there are often paths independent of your current management. But take our size, with an IT group of 24. Like most companies we are very lean. If I hire a PC Admin it is a very full time job. There isn't a lot of free time to practice your DBA skills, much less demonstrate them. If I had an opening for a DBA, consider the dynamics -- if you are a good PC admin, I'd have to choose between loosing a good PC Admin and getting an unknown quality DBA; if you were a bad PC Admin, I certainly wouldn't want to risk the change.
I'm not saying it couldn't work -- I've often allowed people to try a job change rather than loose them. But the dynamics are often against it. Now if the company is really large, you might get the inside line to a transfer to a different group, where the guy hiring is not the guy loosing you.
Your best bet in almost all cases is networking (human type). I'm looking for experienced developers (not DBA's) right now. I told H/R not to send me anyone fresh out of school (ok, everyone can yell at me if you want, but that's the real world). HOWEVER, this morning I'm talking to someone fresh out of school because one of my employees knew him and raved about him. Some of my best employees came through the back door because they knew someone who knew about the job, and I knew them and trusted their referrals. If you've impressed your instructors or others, stay in touch and let them help.
While waiting for your dream job, find alternatives that demonstrate your worth. It may be a bad idea to take a low-ball salary just to get experience (it may not, opinions are mixed). But consider some consulting, or working for non-profits and doing an excellent job. Having heads of a charity or church (who are often desparate for help) raving about your abilities to a potential employer is a great reference, and that you got paid $5/hour is not noticd because it's a non-profit.
PS. When you interview, don't pretend to know what you do not know, do describe how you are really good at learning on your own and even your own time (in a down economy no one wants to hear how you are looking to spend the next 2 years in classes), and do not sound wedded to a technology or language. They are all tools to solve problems -- sound like someone who knows how to choose and use tools to solve problems, not someone who can only use a hammer.