It's still too early to tell how quickly things will melt off. Last year was not a relatively heavy snow year but we had a stormy June with cold temperatures so the melt was slow. They seem to be calling this year a somewhat normal year (depending on what part of the Sierra you're talking about) but if we keep getting storms in April and cold temperatures in the spring that could slow down how the snow melts.
I would think the lakes you're talking about will at least be partially open by mid June. Finger Lake sits among some rather high canyon walls so this may make the ice melt slower.
Finger Lake from the outlet.
Finger Lake from above.