For a few sheckels more, try either the American Vintage series Jazzmaster, or for even a few more $$, try a Custom Shop Relic Jazzmaster. I have a Stratocaster in each of those catagories and I love the instruments! The Strat is a '59 reissue, very accurate to 1959 specs. The Custom shop Strat is a 1960, and it doesn't need any modifications. I have owned it 3 years, play on a cruise ship, and this guitar turns heads and is so very versatile it fits everything I need to do.
Oh, you did ask about Jazzmaster, didn't you? Check out the American Vintage series and if not, then the Custom Shop series.