The best replacement for state is commonwealth.

The best alternatives to state are rated as following:
★★★★★  commonwealth
★★★★  nation
★★★  federal law
★★★  federal government
★★★  trait
★★★  federal court
★★  federal rights
★★  mann
★★  state
★★  province
★★  oregon
★  radric davis
★  federal
★  country
★  michigan
★  trait anxiety
★  local income tax refund
★  jodi arias
★  status
★  federal prison
★  michigan 2014
★  oklahoma
★  miami
★  florida
★  michael dunn
★  federal power
  arkansas
  federal taxes
  government
  ohio state
  federal laws
  auburn
  zip
  michigan jokes
  market
  federal tax return
  virginia tech
  penn state
  texas
  notre dame
  federal minimum wage
  michigan state
  wisconsin
  reed
  toledo
  metzger
  federal jurisdiction
  michigan football tickets
  memphis
  usc 2008
  wisconsin basketball
  kirk jones
  arizona
  tcu
  kent state
  smith
  territory
  federal trademark
  michigan football
  smu
  usc
  local tax refund
  clemson
  duke
  national government
  bowling green
  federal courts
  arkansas state

Your alternative for state is not listed? Suggest!
Speaking about state, one probably shouldn't forget about nation.

Other search terms related to state and their ratings are:
★★★★★ nation
★★★★★ proof
★★★★★ speed limit
★★★★ most presidents
★ income taxes
★ collective bargaining for teachers
★ state tax
★ tax
government
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Google Trends

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state
commonwealth
nation