Last year on May 4th, I went into the backcountry....over trail Pass, down to the Kern River, up Wallace Creek to the JMT before turning around due to snow.
On June 8th, I did the same trip but included side trips to Forester Pass (south facing), then up to Wallace Lake. I finished by exiting New Army Pass.
Snow was virtually non-existent on that trip with stream levels very low for crossing.
So, I can't imagine you having a problem yes, there probably will be some snow on the north side of Forester.
