Hi Carlotta,
You're in luck! I graduated from Cal State Long Beach and I just happen to work at San Diego State University!
I advise two sororities and three fraternities at SDSU.
At San Diego State, recruitment is pretty competitive. Every year we see more and more students wanting to participate and we don't have room for everyone.
Though, we just added a new sorority this year and hopefully this will help offer more places for new members next fall.
Most of the girls rushing are freshmen (first year students). We do get some sophomores (second year) and some juniors (third year); but, we do not see very many seniors (fourth year).
Being an exhange student will add interest and give you many things to talk about while meeting the sorority members. However, the fact that you will only be here for a year may be a disadvantage. With a limited number of places for new members, the sorority may favor someone who will be around for a longer period of time.
Cal State Long Beach is less competitive; but, again, being a senior will put you at a disadvantage. It has been a few years since I graduated from this university; so, things may have changed since then. I have an associate who is the coordinator for fraternities and sororites at Long Beach, perhaps I can ask her for you?
Finally, I do not have much information about Cal State Northridge; though, I would imagine that their recruitment is less competitive.
Of course, it would be wise to consider all aspects of the university you select: academic programs, location, activities for students, etc.
No matter which university you attend, I would encourage you to participate in recruitment anyway. It would be a good thing to experience this unique American tradition and, you never know, there is always a chance you could be invited to join.
If you have any questions, please feel free to send me a private message!
.....Kelly