We've had many discussions about this over the years. Connie is no longer in the hobby, but she was able to keep them for a couple years. Here is a thread where she talks about it:
I found her post by doing a search for "blue linkia" in the Invertebrates section, selecting posts in the message body 1 year and older. There were a lot of threads about it, some of them offering ideas by other folks that had some success.
I wonder what www.liveaquaria.com has to say about them, if they sell Blue Linkia. I usually agree with their care recommendations.
Aloha,
Mark
Here is one of my favorite pics from earlier days, before I decided I didn't like killing Sea Stars.