the show i saw with keith warren was in WY and i did not think it was June....he had to be off the golf course by 8 am as i recall. saw the show 1-2 years ago not recently. town was in northern WY east of I-25.
Alaska has black bears open in June where i hunt closes 10th but other GMU are open all year long some with 3 bear limit.
kodiak island has caribou open all year and no bag limit. caribouare open in other areas as well.
wide variety of small game is open in June.