I am hoping to head up next weekend with the intent of heading over Trail Pass and down to the Kern River.
Paul
I don't have any pictures to share but here's an educated guess for you. We had a storm on Friday and Saturday. It left about 12" of snow at Lower Boy Scout Lake at 10,300' and closer to 24" with bigger drifts at 12,000'. It's melting quickly though.
I'm not familiar with Trail Pass. Is that the route that goes near Trail Peak? If so it doesn't look like you're getting above about 10,800'. If you're going over New Army Pass, that's about 12,300'.
The weather this week is supposed to be warm and clear. The new snow that just fell has already started to melt and will continue to do so all week.
Any snowbanks you encounter will be soft and post holing is likely. If your route stays low I don't suspect you're going to hit much snow. If your route goes higher you'll see soft snow.