There are 2 aspects to the question you pose:
(1) Objective
If you are a breeder and want to fix a certain pattern or trait you want to achieve for commercial value, then inbreeding is the only way to improve the strain and fix it. In most cases, its take about 5 - 7 generations to fix a strain for sting rays and along the way you can and should introduce some new blood as in crossing with an unrelated specimen. However, inbreeding typically have no adverse effects until many generation of imbreeding.
(2) Ethics
If you are purely keeping rays as a hobbyist and your beliefs dictate your behaviour and that of your pets, then incest is definately a no go. My pal's wife's strictly forbid him to keep more than one female with his male ray on the grounds that it might corrupt his thinking and she is a strong advocate of a momgamous marriage.
So my friend, do what you are comfortable with..cheers