My dad and i go every year, been doing it since 95. We hunt public land the old fashion way, using backpacks and tents. I would say our success rate is probably 25-50% of the time we get one.
You can usually get over the counter bull-tags or left-over tags for certain areas no problem, infact, because of my hectic job schedule i almost never put in for the draw. I won't tell you which areas to go, i'll leave that up to you. But, just remember you don't need horses and a bunch of fancy gadgets to do it. We sleep in tents and haul our elk off the mountain using backpacks.