Is your concern that your school isn't prestigious enough? or that real-world experience in computer engineering is required for a meaningful career in patent law?
I have no idea how prestigious UConn is. I can't help there. As has been said over and over, it's best to go to the best school you can get into. Although it's not entirely insane to consider other factors like cost. For example, if you get into Boalt and Stanford, go to Boalt -- it's better and cheaper. However, in those years in which pollsters think Stanford is slightly better, I'd still go to Boalt due to cost differences. In the interest of full disclosure, I did go to Boalt.
As for work experience, it's not nearly as critical in computer engineering as it is in other areas (like life sciences). Computer engineering is still a bit of a hot topic, and I disagree with conventional wisdom in "the Valley" (Silicon Valley) that every patent attorney can do software patents. Some software inventions are relatively easy, but don't even try to draft an application of a kernel optimization, 3-d rendering engine, or true artificial intelligence without some fairly thorough understanding of the software arts.
What I'm getting at is that there's a bit of a shortage of truly capable software patent attorneys in the Valley, even if they don't know it.
Now, will that translate into a great job in a great firm in the Valley? I don't know. Assuming your bachelors degree accurately reflects your technical competence, and further assuming that you do well in law school and can write well (good writing sample), I don't see why that can't happen.
Good luck!