Illegal immigrant children problem and solution

I believe the solution for the temporary housing of immigrant children is to ship them literally to a US territory. Because of the large number of illegals already in Puerto Rico currently, I would believe this US territory would be a good proving ground for them. Their parents can visit them without restrictions and they can be allowed to pursue proving themselves through education, jobs, or the military while keeping themselves out of trouble. This would also allow them to be out of the system for several months and not reward them for crossing the border. If the application falls through, they can easily be shipped to their home country. Note that using plane trips is getting too expensive so slow ships would be better to keep them out of the system for a while.