As far as tree squirrels the red pine is protected from hunting in state of Idaho, however fox and gray squirrels are they OK to hunt? And what other small game can be hunted year round? the small game seems vague and even dates for rabbits/hares seem contradicting when looked up, Falconry section states different dates then newly revised dates for rabbit/hare?!
Some animals are classified as “predators” or as “unprotected” and can be hunted and taken all year. Animals classified as predators in Idaho include coyotes, raccoons, jackrabbits, skunks, weasels, and starling. The most frequently hunted unprotected animals include marmots, fox squirrels, porcupines and Columbian ground squirrels, English sparrows, Eurasian-collared doves, and feral pigeons. These species may be taken in any amounts and at any time by holders of the appropriate valid Idaho hunting, trapping or combination hunting license, provided such taking is not in violation of state, county, or city laws, ordinances or regulations.
You can find the snowshoe hare and rabbit seasons at: http://fishandgame.idaho.gov/public/docs/rules/uplandAnimals.pdf.
You can find the falconry seasons at: http://fishandgame.idaho.gov/public/docs/rules/uplandFalconryCrows.pdf.