Was curious on this as we were scouting our unit two weeks ago and most of the elk country is thick timber. With that, our approach was to get in prior to season and scout like one would expect (high point glassing, etc.) but assuming we can't see through it - are you just stalking in dark timber? Basically, move slowly / quietly and then pause with the three Ls - and work your way through the target areas. That's out thought / approach - just want to see if we're idiots or not.
What I do is hardly a master strategy, but what works well for me is:
* Scout an area I want to target a day or two before
* Get myself in there by 5-6am at the latest opening morning.
* Stake that out and glass for about an hour past opening light.
* Still hunt uphill through any timber stands, benches, etc that I want to poke through.
* First lunch at 11am, being quiet and using the time for more glassing.
* Still hunt another few hours, usually rounding out the back side of a long loop.
* Second lunch and more glassing around 2-3pm.
* Still hunt back downhill through more terrain and water features.
* Arrive at another likely watering hole at least an hour before legal light ends.
* Stake that out.
* Steak and bourbon around the campfire.
I hunt Rifle 1 in a zone with moderately heavy hunting pressure and a dense mix of timber stands and small meadows plus a number of creeks and seeps. This strategy has worked well for me so far because by moving less, I let pressure from other hunters drive game to me and in that season, elk care more about safety, food and water (hence the focus on water) than things like the rut. This would probably be totally ineffective in archery, light-pressure zones, 4th season, or another location with different terrain.
You have to work out a strategy that works best for you and also factor in things like your fitness and so on. I'm not bragging (plenty of people hike way more than me) but it's very common for me to do a 10 mile loop even moving as slowly as I do. Even if I'm only moving 0.5mph, if you figure I'm doing 2 miles in quickly and 2 miles out the same way, and have all those hours in between, I can cover a lot of ground. I've had seasons where I easily covered 50 miles according to my GPS. I know plenty of guys who just pick a spot and hunker down all day and many are just as successful. I would just go crazy sitting still that long.