The best replacement for homeless is hipster.

The best alternatives to homeless are rated as following:
★★★★★  hipster
★★★  jail
★★★  houseless
★★★  prison
★★  jesus
★★  transient
★  hobo
★  homelessness
★  bums
  were you at risk of being homeless
  street people
  suicide
  total reality
  empty houses
  math professor
  vacant homes
  at risk of being homeless
  bom
  bum

Your alternative for homeless is not listed? Suggest!
Speaking about homeless, one probably shouldn't forget about mental illness.

Other search terms related to homeless and their ratings are:
★★★★★ mental illness
You have in mind a companion for homeless and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of homeless in all years. Click on graph for more.
homeless
hipster
jail