For you to raise the door. You have to redo the header, etc. Which means you might need a permit, that entails engineering blueprints etc. Then does the height of the wall, allow an increase of what's needed? Throw in potential to have a custom garage door made for that height increase.

Forget the height of the garage. What's the height of the garage door opening, from ground to top of frame?
. I suggest you add another 2-4" for clearance, to allow for the add on of a topper, etc. . Trying to squeeze any vehicle in with 1" to spare isn't going to go the way you hope.
Always go bigger, if there's room on property, with no hoa, why not do a single car for the truck, as time & $$ allows?