Some context:
It took Cassini-Huygens 7 years to reach saturn with two venus and one jupiter flyby.
It took New Horizons 9 years to reach pluton with jupiter flyby.
With Inclination of 95.467° and Argument of perihelion of 326.285° flyby could happen near to Ecliptic but for getting to orbit one would need a nice gravity assist from jupiter.
Small trivia:
Existence of two unit quaternions corresponding to the same rotation is the same thing as the fact that an electron must be fully rotated twice before it has the same configuration as when it started.