Non-resident $20. per day includes all small game, quail (3 species)15 per day, cottontail 10 per day open all year, jacks no limit open all year. coyotes, open all year no limit. I will not hunt coyotes from March until the first of September unless a rancher calls with a troublesome critter, no season, no limit. Lion you need a $75. tag and you would only be allowed to hunt them on the days you paid your $20 fee, no season, no limit. Bobcat, gray fox, 1 August to 31 March, no limit. Coatimundi, ringtail cats and badger 1 August to 31 March, one per season. There is a season on quail but it will not be announced until later in the year.
Best chance at coyotes/bobcat are September and early October there are no best times for lion it's a gamble at best. If you refer to a coyote as a "yote", "song dog", "dog", unless you're sure it's a male or any other stupid ass name you are not welcome in my house.