There are 2 state I know that allow a non-resident to become a resident while they are a full time student.
Utah allows a full time student who has continuously maintained a Utah residency for 12 month (lived in UT, registered to vote, obtained a UT driver’s license, etc) to petition for in-state status. The student cannot spend more than 14 day outside of the state during that first year.
New Mexico allows full time students who join the New Mexico National Guard and have completed 12 months of honorable service to petition for in-state resident status.
However neither UT nor NM public colleges are “meet full need” colleges.