The best replacement for hawkeye is green arrow.

The best alternatives to hawkeye are rated as following:
★★★★★  green arrow
★★  bullseye
★  vidofnir
★  otshirvani
★  green arrow first
★  daredevil
★  blobeye
★  silver ranger
★  punisher
★  eagle eye
★  dart
★  katniss
★  legolas
★  deadshot
★  nanocom
★  black widow
★  arrow
  air wing
  realm
  gambit
  logblock
  faultmate
  phantom ranger
  hawkeye vft
  cz 550
  ruger american
  mark ii
  goalref
  treasure hunter
  winchester model 70
  tikka t3
  kristiana

Your alternative for hawkeye is not listed? Suggest!
Speaking about hawkeye, one probably shouldn't forget about roy mustang.

Other search terms related to hawkeye and their ratings are:
★★★★★ roy mustang
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Google Trends

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hawkeye
green arrow
bullseye