Actually, I would recommend sticking with the BSEE. I am graduating this May (in 2 months) from Penn State University with a BSEE, and from my experience, a BSEE will give you more options and a more flexible degree. I say that mainly because with an EE degree, you have the option of taking electives that are geared towards Computer Engineering and specialize in a certain topic, but at the same time, it's more versatile.
Basically if you have a Computer Engineering degree, a lot of times it would be difficult to get a job where an electrical engineer is required, but if you're an Electrical Engineer, it probably wouldn't be too difficult to get a job as a computer engineer. It's all about versitilaty.
In the past 4 months, I've interviewed with (and gotten job offers from) Lockheed Martin, Northrop Grumman, Ingersoll-Rand, GE, etc., and the feel I get from industry is just what I've shared - EE's are more marketable.
I do agree with chroot however in the fact that your curriculum will most likely be laid out for you from Day 1. Follow it. The key to getting out in 4 years: if you get behind in the curriculum, take summer courses.
Just my $0.02. Best of luck to you.