It's June, go fishing. In all seriousness, June around the Spokane and Coeur d'Alene region is absolutely the premier month. Rivers are (or have dropped), hatches are peak, fish are hungry, conditions are great.
You really can't go wrong this time of the year. The only rivers that can be out of shape are ones like the Clark Fork in western Montana which receive a ton of runoff from many streams.
This time of the year fishing can be good throughout the entire day. Comfortable temps and optimum water temps keep fishing stable. While there may be peak activity times, overall fish can be caught morning 'til evening.
People call the shop, or swing in daily asking how fishing is. The answer in June is pretty much "great".
Swing by 7 days a week for any of your angling needs.