We bought and plated our trailer in Florida where it lives on a permanent basis. We simply renew the plate each year as we would a car at home. We were unable to insure it in Southwest Florida at the time of purchase because of the hurricane threat as it is tied down and not 'movable'. That may have changed by now, but I have not tried again recently. We are non-residents but we do own the property at the address where the trailer is registered.
Our household insurance in Canada will NOT consider a blanket policy for liability alone since we have it registered there.
I don't think Texas will be much different except for, perhaps the insurance aspect. You might be stopped and questioned at one point about towing a Texas plated trailer with a Canadian registered vehicle but it should be a non-issue AFIK.