I've drawn it several times since they started offering it. I think you will do better this year due to the snow pack. The two years I saw the least amount of bears were last year and another year where you could drive to the top on opening day. They had food sources everywhere and it seemed they weren't hitting the open areas as much.
To cookingdaily, spend a day or two driving around and checking the area out. Some of the smaller reprod areas can be productive, but sit and glass. Also, don't be afraid to walk down several side roads, even if you can drive them. I've come across several bears (and other wildlife, like elk and deer) doing just that. I'm always amazed how many people won't park and walk the last 100 yards to get to a landing to glass, they'll just drive to the end. Once it really warms up start looking for the peeled trees and start walking those roads or glass it from above if you can. Several years ago it was hot enough to run the air conditioner in late May. I was bored so I decided to check out a shaded canyon with a creek running in the bottom. About 1.5 hours later I was driving back out and I must've spooked a bear off the road that had been peeling trees. I counted over 20 trees that he peeled during the time I was back in there, that were not touched when I had entered. He left a pile of crap on the road over 12 inches long and about 4 inches high and wide. I could watch the liquid running down the slight grade in the road, so I'm guessing it was about two minutes, or less, old.
My point in all this....put in your time, walk, glass and GOOD LUCK!!! Let us know how you do.