Ummm....Adams and Hendrickson ARE mayflies.
Regardless,pretty good selection.
I'd have a hard time whittling down my flyboxes to just 5 patterns,especially in summertime with so many potential hatches to match,but if I really had to......
#1-Black Woolybugger(#8)-great for searching new waters and probing familiar pools alike,swung wet,streamer stripped,dead drift,nymphed,trolled,dangled,even ginked up and fished dry....there's no wrong way to fish it and it takes all but the most selectively feeding trout.Represents leaches,worms,baitfish.....yumm.
#2-Marabou Muddler(#6-10)-most of the same attributes as the lowly bugger,swung wet,stripped,trolled,dangled downstream....makes a decent hopper imitation fished dry.Imitates a variety of small baitfish,smaller sizes are deadly on smallish trout streams.
#3-Adams,Hendrickson....some other generic/non-specific type of mayfly pattern?sz 10-18....represents most mayflies "close enough" for greedy brookies....size is more important than color imho.
#4-black and/or brown stonefly nymphs,sz 4-12-common in most streams year round,excellent for probing the depths(nymphing)for in-active fish.Larger sizes are good size,tempting mouthful to move lazy trout.
#5-Elk Hair Caddis,sz 12-18,tans and greens(#16 tan if I had to pick just one?)-will cover most Caddis hatches "close enuf" for brookies.