an update from my trip on July 14th. The upper trail should be clear of snow by Aug/Sept but an ice ax may still be a good idea for crossing the snow bridges.
As for technical climbing, Borah is only rated class 3. However, there were quite a few sections on COR that seemed more like class 4 to me. The climbing is easy but there is some real exposure. It is definitely more than "just a hike".