Hi, sorry your post hasn't been answered yet!
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Yes, it's perfectly normal for a 6mo old to stay awake for 3hr. It's well within the average.
Average A times- BOOKMARK ME! It's also normal for tired cues to be unreliable at this age. They can get fussy and yawn out of habit, because they're bored or overstimulated. You mentioned trying all those A times... did you stick with each for at least 3-4 days before trying another one? It may be that she just needs consistency. If I were you, I'd start at 2h30min, as that's the lowest average A time for a 6mo old and hold for 3-4days. If she still short naps or doesn't sleep through, then add 10-15min and do the same. Keep doing this until she starts to consistently sleep through.
Also, you mentioned she sleeps 11-11.5hr straight at night and then does another 1.5hr. So, she's getting 12.5-13hr night sleep in total, which may be hampering her ability to sleep proper naps. Is she currently doing 2 or 3 naps? You may want to think about keeping night sleep to 12hr to encourage the longer naps... just a thought.