How is it fair to anybody to relocate homeless to Mississippi, who has its own share of very poor people? In fact, people of high cost areas should welcome homeless and low cost housing--it could actually drive down the cost of housing if lower income housing is built in/near neighborhoods.
How do you achieve low cost housing in a high cost area? It simply can not be done. Even if you put a shipping container on a plot of land, the land itself is extremely expensive. You can build up (high rise) but just doing that also raises costs. For example, if you build up, there still has to be water and sewage hooked up to a high density which is expensive.
People who can not afford to pay for such high levels of sewage infrastructure should live in the cheaper rural locations. Thats only fair. Its not a crime to be poor. But it is a crime (IMO) to be poor and squatting in a high cost location but not paying the property taxes and other costs that it takes to maintain that lifestyle. Those poor should be moved to other cheaper places to make room for other people who really can afford to live in the high cost area.