I'm looking to do a 40-50ish mile loop or 1 way trip between June 20 - 27. I've been reading a lot about large amounts of snow. I'm wondering where / what trails might be an appropriate place to do this sort of trip? Also, we'd like to see a variety of terrain - meadows / cliffs / mountains / lakes. We're experienced backpackers, but don't own crampons or snowshoes (and didn't intend to acquire them, but we wouldn't mind seeing a little snow).
We also don't have wilderness permits yet. There are very few available for those dates in some of the main areas (Cathedral lakes, for example), but first-come, first serve may be an option.