The best replacement for deet is picaridin.

The best alternatives to deet are rated as following:
★★★★★  picaridin
★★★  deet free
★★★  permethrin
★★★  no deet
★★  citronella
★★  ddt
★  ir3535
★  lemon eucalyptus
★  catnip
★  pyrethrin
  skin so soft
  incognito
  deet
  pyrethrin\/permethrin
  picardin
  not to deet
  non deet

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

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



Google Trends

Scale is based on the average worldwide traffic of deet in all years. Click on graph for more.
deet
picaridin
deet free