Currently, there is a bunch of snow on north side of San Gorgonio (11,500') and Mt. Mallory, almost 14,000', near Mt. Whitney, friends climbed both of these places this past weekend.
Forester Pass from northside did not appear to be a major to do from my observations hiking in the early fall but I would not want do deal with descending its south side in the in the spring, if there was any ice around.
I would not attempt doing your proposed trip without ice axe, crampons and a basic to medium level skill set.
