That is way too high. I have only been quilting for about a year now. I have only been charging 50. for full, 60 for queen and 70 for King. If I supply the batting and backing I charge extra for that. I know my prices are lower, but I feel that when I get experienced, I'll charge more. A simple pattern should not cost 200.
Did you shop around for a long arm quilter. And, did you agree to that price before the work was done? Those would be my first questions. Sorry you got bit.