The best replacement for trot is canter.

The best alternatives to trot are rated as following:
★★★★★  canter
★★★  gallop
★★  pace
★★  dilbert
★  lope
★  gait
★  jog
★  gallup
★  cantor
  enka
  amble

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

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



Google Trends

Scale is based on the average worldwide traffic of trot in all years. Click on graph for more.
trot
canter
gallop