There is more to being able to maintain housing than paying rent. Are you also going to subsidize cleaning and maintenance staff to scrub and rebuild the apartment every time they deliberately destroy it? If you kick them out for smearing everything in feces or tearing all the copper out of the walls or stopping up all the drains and flooding the unit because the drugs made them think this was a good idea, then you haven't solved the homeless problem. You've just made another homeless shelter which they won't stay in because it has rules they won't or can't follow.

They need to be housed in something like a prison or a psychiatric hospital, after being convicted with due process.