What's your inseam length? Height just won't tell us enough.

I'm only 5'10", but I have a VERY long torso and I'm quite flexible. It turns out that a 56 effective top tube is NOT long enough for me (I need 57-58).

At 6'2" with long legs (e.g. 35-36" inseam), you might well fit on a 56cm effective top tube frame – but it does depend on other variables, especially length of your legs/torso and your riding style/ability.