We summited all four peaks on 8/2 and 8/3. Lots of water on trail from the junction at 11,200' to Twin Lakes. No snow until you reach Twin Lakes. Only a few small snow crossings along the trail from Twin Lakes up to about 13,200'. The larger snow field directly below Eolus' east face (photo 1) can be mostly avoided to the right, although we still had to cross about 100' of it to reach the ramp (photo 2). This snow field makes for a great glissade on the way down, however!
Some slick rock on the ramp itself, be careful! Around the corner below the Eolus-North Eolus ridge, there is a larger snow field that you must climb (photos 3 and 4). Traction here is highly recommended since it is steep. I used crampons, my buddies used microspikes. I'd bet that you'll probably want traction here through the end of August at least. Another great glissade spot for the way down, though. Above this snow, there is a short section of class 3 climbing before reaching the ridge. Completely dry from here to the North Eolus summit (photo 5). Great grippy rock!