My way too early prediction would have us winning a close game against Arizona.
Lard on Chase Jeter will be a match up to watch inside or maybe you body him up with Solomon? I just quickly peaked at Arizona's grad transfer additions... they don't seem to be major impact guys, but likely solid additions for the situation Arizona was in. Player profiles below.
http://www.espn.com/mens-college-basketball/player/_/id/3138197/ryan-luther
http://www.espn.com/mens-college-basketball/player/_/id/3136168/justin-coleman
Edit: In case anyone's looking and gets confused (like I did originally), they got a "grad transfer" from Cornell who is sitting out the 2018-2019 season and will have a final year of eligibility left after that. He was their big catch on the transfer market this spring but is essentially a sit 1, play 1. 6'8" forward who averaged 17, 7, and 3 at Cornell last year shooting 37% from three and 83% from the line.
Agree with you on rather facing Duke than Gonzaga for those exact reasons.