Was that a typo, or did you actually mean 6'11"? That's a non-normative enough height that you might be able to do it just by going through geometry charts and buying the production bike with the longest effective top tube, out of all brands. It would probably still be a bit small.
56" would be my best guess. I'm 5'10 and fit on both 54 and 56. The bike I bought was 56" and I had to get a shorter stem (free at my lbs) because the reach was just a tad too long.
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