Mountain Forecast always over-estimates the amount of snow. I use the NOAA site for more realistic numbers. You can see from the web cam view that the east side is not getting much snow at all from all the storminess.

Avalanches in May have usually been lower down due to snow melting rapidly. I don't think there will be any avalanche activity due to the cold and low snowfall amounts.

Good luck! It's going to be a cold trip!