I'm thinking about choosing safety schools in nonlinear dynamics/cme/cmt. Any thoughts or advice would be appreciated!
My background:
Undergraduate school: Public school in the US (ranked ~30 according to usnews)
Overall GPA: 3.88
Major GPA: 3.75
Research experience: 4 months in chemE (not quite related to physics though

No GRE scores, but will take the October PGRE, and probably at-home GRE. (my current school list doesn't care too much about GRE except Northwestern recommends PGRE)
My major GPA and research experience could really hurt my chance.

Right now my reach schools are:
UChicago Physics (for fun)
UChicago PME
Northwestern Applied Physics
Not sure if it's reach or match:
Rice Physics
Rice Applied Physics
If you have any other recommendations, please let me know! Thank you so much for reading my profile and questions!