I took binos shed hunting once when I was in an area where I thought there could be elk antlers... Didn't find any but not my binos fault. I know lots of you have found antlers with binos, and I think they'd be a great tool, for some people.
In general, I don't carry binos where I shed hunt. Sage brush, cedars, low-rolling hills, gullies, etc. etc.... I just walk it. The area I'm in doesn't really lend itself to glassing much more than I can see clearly with my eyes. Sage brush is the best antler cover there is.
Most miles I ever did in a day shed hunting was 11.8 miles. Found two small deer antlers. Most sheds I ever found in a day of shed hunting was 8... Only hiked about 5 miles that day. It's a crap shoot, which is why its fun and exciting... I generally hike around 7 miles in a day of shed hunting, and I'll find 4 antlers on average. I've never felt dissatisfied with a day of hiking the mountains.