What a shame! Rose rosette disease is highly contagious, Cindi, so you should dig those out and get rid of them right away, along with any others that show the symptoms from now on. I don't think it will necessarily wipe out all 360.
As for the annual thing, I know what you mean and it all depends on the price. I buy Bougainvilleas and Mandevillas every year that never come back, so they are essentially annuals in my garden, but they don't cost as much as roses do.