The ONLY strategy is to keep the wind in your face and hunt accordingly. You can get away with movement and making noise, but you're done if elk wind you.
Hunt smart, if that means not hunting an area due to the wrong wind direction, or having to come into an area from a different way, do it. Take a chance, you blow them out of the country and have to relocate them.
I had a bull bugling several years back on the rifle opener but the wind was an absolute mess. The bull was in the timber and if I would have rushed in there that evening, I doubt I had a 10% chance of killing him. Waited until the next morning, he bugled once and I edged into where I thought I was close and waited for shooting light. Wind was perfect and once it was light enough, chambered a round and started edging through the timber. About 20 yards later...dead bull, 35 yard shot.
Pay attention to local winds, where I killed that bull, there is almost always a downslope wind out of the due East in the morning and almost always out of the West in the Evening. Topography can impact winds and how the thermals work.
Details matter and the only way you learn is to win some, lose some, and spend time on the hill. Nothing to worry about, only takes a couple decades to nail it all down...after that it gets easier.