How to apply for out-of-state schools?

To learn about how to apply to a particular college, look at their website.  Most will have the application available there but others may be part of the Common App or another application system.
The Common Application is a non-profit membership organization representing nearly 900 higher education institutions across all 50 U.S. states and 20 countries. You can use this site to apply to these colleges, research schools, scholarships and connect to college counseling resources.
​The Coalition for College, Scoir, and Technolutions have partnered to expand college access for low-income, under-resourced, and first-generation students. This application process simplifies the experience for students, from search through enrollment.
Niche.com helps you explore colleges and they also offer direct admission, so you may add some information and get admitted to colleges without an application. 
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​Western Undergraduate Exchange (WUE)

​America’s largest regional interstate tuition savings program

Alaska, Arizona, California, Colorado, The CNMI, Guam, Hawaii, Idaho, Montana, Nevada, New Mexico, North Dakota, Oregon, South Dakota, Utah, Washington, & Wyoming
The Western Undergraduate Exchange (WUE) is an agreement among WICHE’s 16 member states & territories, through which 160+ participating public colleges & universities provide nonresident tuition savings for Western students.
Eligible students can choose from hundreds of undergraduate programs outside their home state, & pay no more than 150% of that institution’s resident tuition rate. 
Since full nonresident college-tuition rates may exceed 300% of resident rates, WUE increases affordable higher-education choices for students, and minimizes the adverse impacts of student loan debt.