Slow!
All of my bears and most of my deer I've shot by still hunting.
My definition of slow is variable...
It depends totally on how thick it is and how far you can see! I don't take another step until I've seen everything that the last step revealed. I hope that makes sense. Sometimes it'll take me an hour to go 75 yards or so if I feel I'm in a spot where a bear OR a buck might be laying.
The little things that let you know you're doing OK is when you find yourself 25 or 30 yards from a flock of turkeys and they don't see you. BUT keep in mind turkeys can't smell. If you're creeping along with the wind at your back you're wasting your time for deer and bears... Also, if you catch a flicker of a tweety bird at 90 yards you're seeing things before they see you and that's how you get them.
Where I go bear huntin' every year it's National Forest, it's pretty big woods and you gotta cover ground there's no doubt. Seeing the signs of bears and being stubborn and searching for them were they live is how I've been able to get four and came real close to another and definitely should'a had another...
I have lots of bears around where I live and half-heartedly hunt them during the overlap of archery deer/archery bear season but if I get one during that I wouldn't be able to go to the mountains for my favorite week of the year...