Option 2: You may want to consider avoiding YNP entirely and take the Sonora Pass via SR 108 to the 395.
There is the Sonora Trail and the PCT. You can park near the summit and take a leisurely stroll along these trails. Certain areas of these trails will peak out at 10,000 feet plus. Just bring plenty of water and snacks.
There are campgrounds west of Sonora Pass you want to consider. You may have to reserve in advance of see if they have first come first serve.
The road twists and turns on the east side of Sonora Pass but you will not be disappointed with the views. You may want to put the transmission in Number 2 or Number 1 on the descent to preserve your brakes. 108 connects with the 395 north of Bridgeport. Bridgeport is a great stop. Also, you will pass by my old stomping grounds at the Marine Corps Mountain Warfare Training Center (Pickel Meadows).