Utah and Texas both have defined paths. Utah makes it fairly easy, Texas has more requirements, but it’s possible. Both Utah and Texas universities spell out exact requirements on their residency pages.
It is not a ‘competitive’ process like scholarships, but all of the requirements must be met. In Texas, the two most common methods are purchasing a residence (in students name but can be with parents help) or owning and maintaining a business. Depending on your situation, one of those may be an option.
This thread has some discussion of Utah’s residency implications:
Be sure to also check tuition exchange opportunities such as Western Union Exchange.