JRankal , electrical issue can be some of the worst things to figure out & can require special tools to do , so I would suggest that you put your location in at the user control panel , some one in your area may be able to help .
You can get an inductive [ touch wire/cable ] amp meters , so that you can look for current being pulled from batteries , dying while driving would seem to be a large draw [ unless its a very long trip ] , that would leave me to think something like the starter or intake heater .
How long to drain charged batteries ?