Check the terms of the trust. Unless the trust document varies it, the trustees have a duty to ensure it is insured. So as is said above, they insure buildings, you insure contents. This shouldn't be difficult, it happens all the time (and very often, you have to refund the trustees for insurance, as I say, check the terms of the trust).
Technically you can't sell the property, you can request the trustees sell the property on your behalf and purchase another.