The Sony ZV1 is the best bet, though it is higher then the budget you mentioned.It takes amazing stills and was designed for vlogging. With a larger sensor and better processor it will BLOW away any cell phone. Normally it's $748.00, starting next week there will be a $50 instant rebate and we will double it for members here, bringing the cost down to $648.00
Call me if I can be any help
Joel
516-217-1000