kiyoteAn automatic chrono is very unlikely to be found at this pricepoint, let alone that this is kind off a fashion item which makes the chance even slimmer.
DaanYou CAN find an automatic, actually. And very good ones also. For example, the well known and famous SEIKO SNK809 which is about $50-$60 in USA. Also Orient Symphony 2gen (very good in-house Japan mvmt, 21 jewells, sapphire crystal etc), Orient Bambino (Japan mvmt, 21 jewells) and Citizen 8200 ((Japan mvmt, 21 jewells) at around 100 bucks if you are in USA.