You can even change the strap, use it as a daily watch. Lange is more wow at first look sure, but using such a wow watch anytime is a challenge.
I think it should also depend on your daughter, what type is she, more gold bracelets and necklaces and chic? Then probably Lange is a better bet ( however as Tim stated it wear bigger then its proportions suggest ) , otherwise Patek should be the better option.
Happy hunting!