I did some searching and here's what I found:
Daring to define and diagnose evil. - Free Online LibraryQuote:
Clinicians with Christian worldviews more embracive of the paranormal will likely agree whole-heartedly with Peck's concepts for their faith traditions have been recognizing and casting out demons for years.
(by Caroline M. Timmins, Journal of Psychology and Theology)
But the BYU corpora don't have a single hit for the phrase "embracive of".
I can tell you that my opinion is that "She embraces new tasks" sound far more natural than "She is embracive of new tasks." Far more.
She is enthusiastic about ... is one more option, which I think you suggested yourself, didn't you?