I would get out of UW, they are one of the only schools I researched for my son where you have to apply for so many majors after you have completed 2 years. That was a real turn off for anyone who pays out of state fees. So staying there may still require you apply to that major for admission so you are no better off.
Many schools let you continue in your chosen major as long as your GPA is adequate and yours is.
A friend who lives in Oregon says Oregon State has a good engineering program. They have Chem E. You could investigate them.
Otherwise, you have to read about the admission to major process at other schools in their Eng pages. Some say the minimum GPA you need there or GPA in certain classes. Spend time over the break looking through them.