Wow, Westwater is already down to 7700! Should be no problem by July 2.
Shoshone at high water is a good test for Westwater. In fact, I think Shoshone at 4000 is harder than Westwater at 6000.
Skull is easier for kayaks than for rafts because kayaks can make the move left easily. The main thing is to make sure you recognize Skull. If you make the easy move left, Skull is a piece of cake. Make sure you catch the bit eddy river left after skull rock so you can climb out and get a good look at the rapid.
After running Westwater, you'll probably say, wow, the big waves were fun, it was pretty, but it wasn't a very tough run.