You need to make sure Mt. Whitney doesn't "do" you, as it has countless others. Whitney is a whole new ball-game compared to those easy peaks you listed.
The weather forecast (just in case you haven't checked) is for below freezing temps and 20% chance of snow. LOL. You might find yourself right in the middle of the "20%" on the summit ridge.
You will probably ignore the advice you've been given, but don't let personal ambition override personal survival. Good luck.
