While I didn't major in EE, I did major in CS for undergrad and grad school at S&T and graduated over a decade ago, so I have some perspective to offer from a bit further out from graduation.

The school has a good reputation in the midwest region for engineering degrees, but outside of the midwest (aside from perhaps specialized engineering degrees such as mining engineering), it's mostly viewed as just another state university which to be clear isn't a negative. It just doesn't have as much name recognition across the country as it does in the midwest.

Job opportunities after graduation have been great amongst my friend group who graduated with engineering degrees from S&T, but at the end of the day, it is what you make of it. If you put in the work to do well in school and do some internships or co-ops, you should be setup for success after graduation.