To be eligible for the resident tuition rate, the applicant must be able to indicate residency (physical presence) and twelve months domicile in Massachusetts with intent to stay prior to the date of entry into the state college or university (six months for community colleges).
This is really the same as Utah. Tuition is about the same, overall, in MA as in Utah. More importantly, you’d qualify for health insurance (Medicaid) in MA, but NOT in Utah. Utah has not expanded Medicaid to able-bodied single adults. So you’d have a health insurance issue in Utah.
If your brother is moving out of MA in August, yeah, that’s not gonna work for you. Do you have any other relatives anywhere in the US who can serve as a base for you?