I can’t speak for other states but I can’t imagine it being too different. In PA, you are legally required to carry liability coverage on any car that is registered. You can reduce the coverage to the minimum amount of liability coverage and drop all other coverage (comprehensive, collision, etc).

If you are financing the car then the financier may require you to keep comprehensive and collision coverage in case something happens to the car while you’re away.

When I travelled, I would drop liability to the lowest level and keep comprehensive coverage in case anything happened while it was parked. It usually came in less that $50 a month.