While there appears to be no published information on how to obtain Coywolves (coyote-wolf hybrid), according to Indiana Coyote Rescue Centre, owning a coyote or wolf hybrids still depends on the state.
Born free map: Where can you own wild animals. via kwout
You're out of luck in New York, Maryland, California and the other orange-colored states on the map that completely ban private ownership of wild exotic animals.
The blue and green colored states allow some ownership of some exotic animals under certain circumstances. And the gray ones—from very conservative Alabama to politically moderate Wisconsin and Ohio—have basically no restrictions.
You should be aware that the technical definition does not overrule the fact that coyotes are wild animals, and as such, any hybrid can and likely will show many of their wild behaviors, not making them a successful candidates as pets for most households.
Find everything you ever wanted to know about the Coywolf on PBS.org.