I'm a senior CS student at Rice University who studied abroad the first semester of my sophomore year. The hoops you have to jump through to study abroad are worth it.
You probably don't really need to take technical courses every semester: there may be a light one with courses you can put off. I had to take a 3 week summer course and adjust my schedule a bit, but I made it to Florence, Italy for a semester. If you absolutely cannot go abroad for a full semester, do a summer program or go after you graduate (I knew a kid who graduated, then still went abroad for the experience).
Decide what school you want to go to based on whether you want to experience the culture or drink. A lot of the schools built for studying abroad have people who just go abroad to drink. I was at one of those schools although I would've liked more cultural things and less drinking. It's up to you.
I took no technical courses while abroad. I actually fulfilled a number of university requirements (arts and social sciences).
Make sure you clear all the courses you're going to take with your advisor: they should know you might be taking a semester off of CS. Make sure that you also get any classes you want to transfer approved beforehand. Get signatures.
(It may actually be cheaper to go abroad if you're currently going to a private school. If you have scholarships, some of them may pay for you to go abroad)
If you can't find some time to go, you don't want it bad enough. Feel free to contact me if you have any more specific questions.