Looks like your measurements were correct. Normally, when you put on a new string it should brace a little high, unless it has been prestretched. No hope for that string on that bow, unless you can find a person who knows how to make strings who can unravel it and make it shorter. The usual way to measure brace height is to turn your bowsquare around so the part you have on the string is on the deepest part of the grip, and measure brace height with the scale against the string. Either they keep sending you strings that are too long, or your bow isn't really 62”. Both seem unlikely, but as Sherlock Holmes said....