Aaron Rodgers could care less about the drama back Green Bay ... he's too busy frolicking through waterfalls of Hawaii with his girlfriend and Miles Teller!
Aaron and Shailene Woodley -- along with Miles and his wife Keleigh Sperry spent their Tuesday hiking around Maui ... exploring the lush green wilderness with massive smiles on their faces!
Of course, back home on the mainland ... Aaron is in a cold war with the Packers, which are currently holding OTA workouts with the team.