If I wanted to bear hunt and had 2 points, I'd apply for 61 and if unsuccessful I'd grab a leftover tag. You're looking for oak brush, berry thickets, and water at around 8,000 feet elevation. Your best bets will be sitting water holes and shots will be under 100 yards, or sitting on points, canyon edges, offering good views and shots will be 200-500 yards and typically quite fast.
I've hunted them the last 12 or so years. We've killed 10 total with my son and I killing 8. In Sept, bears are going to move all day long searching for 20,000 to 25,000 calories a day. Sitting water holes all day long or overlooking oaks and berries will yield results. Typically walking is not productive but if moving quietly in good feeding areas you can sometimes locate them by listening for oak branches breaking.
Success rates are low but if you are serious about killing one I'd bump it up to 50/50.