At 22, definitely don't say "very experienced" too loudly at an interview.
I did three internships, and all of them paid (ranging from "barely" to "hey, I think I'll go out and buy an electric bass today"), but that first one really required turning over some stones. The other two basically got handed to me while I was in grad school, one of them was even more or less obligatory. I did the first one in Germany, where internships are looked upon as a form of free education, so many employers openly wonder whether you should be paying them, rather than vice versa. They do this especially if they think you don't speak German.
Fortunately, in the US tech industry, you can often get something comparable to what they'd normally pay someone with your qualifications, and usually not much less than 70-80% normal. Getting paid zilch is almost (but not quite) unheard of for engineering students, unless you're in some tiny burg like Lafayette where they have 5000 idle engineering students sitting around every summer. Technology students can't usually expect quite as good a deal, but they're usually not in a bad position. Some companies take the position that internships are an important recruiting tool, so if they expect you're going to be someone they want later on (especially someone in the "capital skills" category), they may hand out some pretty good deals to make an impression. Certain major chipmakers treat interns like godlings, or at least they did before the tech bubble. Seriously - and I'm not even slightly making this up - we had an entertainment director when I was at one of them.
Of course, there are also places where the intern is the guy who gets to pull the dead rat out of the ceiling, but I won't say where that was [whistles].
Actually, if you're at a full-blown university, you can probably find some part-time lab computer support around. Most research groups and/or departments will use undergrads part time for IT support. Honestly, it doesn't even matter if the job is referred to as an "internship." As long as it's in your field, potential employers won't really care what you call it.