Even more effective when the time comes to actually rebuild homes and businesses. Allocate the billions from the federal government. Hire the contractors, engineers, and skilled labor. Then, start assigning projects with the qualification that the contractors have to come back with the maximum number of unskilled laborers that will accelerate building. Then, assign payed refugees to do that labor. You rebuild homes and give jobs to those who need it most. Plus, after a few projects the refugees will become more skilled accelerating building further.
In addition, have those who want their property rebuilt with this system register their insurance with the rebuilding headquarters. And, then have the insurance claim money go directly to the government to offset the rebuilding funds. It would probably get rebuilding done much faster than the piecemeal which would happen with individual claims for each loss. Note, no discrimination between those with or without insurance or quality of insurance should occur.