The best replacement for radio button is radial button.

The best alternatives to radio button are rated as following:
★★★★★  radial button
★★★★  check box
★★★  radio button list
★★  drop down
★★  checkbox
★★  dropdown
★  drop down list
★  combobox
  radiobuttonlist
  option button
  drop down menu
  drop down box
  button

Your alternative for radio button is not listed? Suggest!
Speaking about radio button, one probably shouldn't forget about label.

Other search terms related to radio button and their ratings are:
★★★★★ label
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Google Trends

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radio button
radial button
check box