Zero Lemon battery isn't much help for this situation...
Try turning off location services both in the main settings menu and in the Google Now settings menu. Especially, turn off the 'use wireless networks' setting in location services.
Something changed between 4.2 and 4.3 that caused location services to use huge amounts of power on my stock AT&T GS3. Even with a 7000mah Zero Lemon battery, I'd routinely see 3% drop per hour when completely idle sitting on a table and each time the culprit was Google Play Services according to GSam.
There are 7 settings that I found (main GPS enable, main allow app access to location, main use gps satellites, main use wireless networks, google app location access, google location reporting, google location history). I spent about a week playing with various settings combinations and have a detailed table of the 8-12-hour battery drain for each but the formatting is screwed-up when I try to paste it here (for some reason I cannot choose a fixed-width font in this editor) so I won't paste it here.