Best chemical engineering school options?

Firstly, your list is too long; having 20 target schools is unnecessary. Secondly, the Chemical Engineering major is tough EVERYWHERE!!!

M2CK is correct, as is always the case; it is not practical to chase out-of-state colleges when you have very fine public STEM choices in your own state. This is especially true in the traditional engineering disciplines. Sure, UT and A&M are excellent, but Texas Tech University is very underrated and ChE at the University of Houston is excellent also. I realize that you may not like living in Lubbock or in “rough” environs of Houston, but there are options.

Based on quality and cost, other ChE departments to consider where you would likely be admitted are:
Colorado School of Mines
Colorado State U
U of Kansas
South Dakota School of Mines & Technology
Rensselaer Polytechnic Institute
U of South Carolina-Columbia
Clemson U
Illinois Institute of Technology
Iowa State U
U of Rochester
Rice University

Keep in mind, as others have said, getting decent financial aid from out-of-state public colleges is rare. Not impossible but not common. The privates, like Illinois Tech, RPI and U Rochester, are another matter. South Carolina has been known for generous financial aid packages to out-of-staters with high marks and scores.