Regarding the east entrance and road opening dates...
Historically, the earliest open date for Tioga Pass is May 2. The latest is July 13. Therefore, with your dates I would avoid the east side (Lee Vining).
I have stayed at Yosemite Pines RV Resort & Family Lodging. I was happy. This is near Groveland, the northwest entrance.
Wayne in Coarsegold near Yosemite
2016 Keystone Cougar 303RLS
2015 Ford F350 diesel 6.7L 4x4 crew cab short bed
Super Glide hitch