I didn’t go to a state college, but I did go to a private non-profit university for both my undergrad and grad degree online. (Northeastern Univ.) I also attended University of Phoenix for the first 2 years and obtained an AA from them. I can say that the education I received was of equal quality, but the rigor at NU was far greater than at UOP. However, I can say with some certainty that you will most likely not find an undergrad degree in software engineering as there is going to be lab requirements. The best route to go for strictly online is to get a tech degree in like IT or ISM then try to get into a graduate program for software engineering. It is unlikely, but possible if you do all the right things. Even better would probably be a degree in mathematics. Do your research on what a typical SE degree will require, but I doubt that even your diploma mills like UOP or Kaplan is going to offer SE degrees strictly online.
Where do you live; I might be able to find something.