An Adams looks like a lot of things, from mayfly to caddis to small hopper. Same for Elk Hair caddis (except the mayfly of course). they're both pretty suggestive and not particularly specific... in the same way a hares ear looks like several differnt nymphs, scuds, or a cased caddis... or a trout hatchery pellet if using brown dubbing tied fat.
But the one thing I do like is tying them parachute style. I like the way they float lower, more in the film, and fish have a better window to see 'em coming, and begin to salivate.
However, my favorite flies are probably wets with a sparse partridge hackle (in whatever color body is hatching), that are tied on 8 to 12-inces below a dry that also acts as a strike indicator. This is especially effective if you're drifting a river as the dropper has more of a chance to go under as you move along with the current. Often a fish will rise to the dry and refuse, but grab the wet on it's way back down. Or take the wet or the dry all the way. I catch about 50-50 one each using this combo.
The only drawback is that when you're drifting and snag, while tring to toss 'em up under and behind overhanging limbs, you wind up losing flies two at a time. So you need to be a tyer, not a buyer.
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