OP You should be fine with stock height and @
WolfpackS2k explanation is right on point. My parent's driveway is about 1/4 the length of this driveway and just as steep. When I took my car home for Christmas, it made it up the driveway without even coming close to scrapping. Now put 2 adults and 2 kids in the car and tried to reverse out of the driveway straight on was a different story
Needless to say, if it's just you in the car you'll be just fine. I am more curious how you will get up and down the driveway when there is snow on the ground....
