Willow chips/shavings are our family choice for hot smoking fish. For meat, usually oak for game meat (venison, moose wild pigs), apple tree for beef & (domesticated) pork.
Haven’t ever even considered smoking game birds. Usually bake (covered), braise or stew them. Quail usually shallow fried or campfire roast. But I know some who like to smoke black grouse and capercaillie.