The best replacement for binge is starve.

The best alternatives to binge are rated as following:
★★★★★  starve
★★★★★  eating bulimia
★★★★  not to binge
★★★  bender

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

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



Google Trends

Scale is based on the average worldwide traffic of binge in all years. Click on graph for more.
binge
starve
eating bulimia