Pings are consistent with her staying at AL all day with the exception of a drive down to her parent's home mid-afternoon. From at least 2:45 PM to as late as 3:45 PM Casey's phone pings towers in the area of her parent's home. Pings indicate she leaves around 3:45 and arrives back at Tony's at 4:10 PM.
This is most likely when Casey broke into GA's shed and stole the gas cans. Per the burglary report: On 06/22/2006, between approximately 1800 and 1000 hours 06/24/2008, unknown suspect(s)entered his shed.
Recall too that AL drove Casey to the home on that date in his jeep.
It is possible that her trip timing is consistent with other trips she made to their house while living with AL, meaning she may have arrived at their home as early as 2:00 to 2:10 PM (allowing for drive time from the last ping up at AL). However, with AL driving I think it is more likely time at the parent's was minimized. Tony described the time there as being 10 to 15 minutes - enough for a few songs to play on the radio (this was part of LA's interview, not AL's).