I would choose a well rounded guy. Because just because you are model-like handsome doesn't mean you are popular and hot. ;] And personally I really like "hot" guys. I'd rather date hot and a little less handsome guy than date nerdy but handsome guys. Plus, lots of girls like sporty, popular, has leadership kind of guys. Like, HOT guys.
I would date both at the same time and then choose from there. I'd probably date the really good looking guy for fun but then get in a relationship with the well rounded guy. But both of them seem like great guys so why not experience both?