What Engineering Colleges do I have a shot at???

Are the engineering departments still impacted for the CSU system campuses?

If you can get into a CSU engineering campus, there is really no point to attending an out-of-state public university where your tuition costs will be significantly higher. The exceptions are public universities that assiduously seek students from other states and dangle great financial aid in front of them; places such as…
U of Alabama-Tuscaloosa
Clemson U
U of South Carolina-Columbia
Texas A&M
Arizona State U

Neither Illinois, Washington or Georgia Tech will offer you any money, in all likelihood. Investigate some private colleges such as…
RPI
Clarkson
U of Portland
Illinois Institute of Technology
U of Southern California
Northwestern U
WPI
Texas Christian University
Rose Hulman Institute of Technology