Bluebloods hire mid-major head coaches all the time. Notre Dame hired Brian Kelly from Cincinnati. Florida hired Meyer and Napier from mid-majors. Nebraska and Tennessee both hired head coaches from UCF. Ohio Stare hired Tressell from D2. Further, plenty of successful coaches have gone from coordinator with no head coaching experience to blueblood school head coach (Fulmer, Richt, Smart, Stoops, Venables).
It’s wrongheaded to think that every big job is going to be filled by a coach who’s leaving success at another P4 program as their head coach. That’s the exception, not the norm. So no, hiring Golesh wouldn’t be a bad look. It would be pretty normal.
If you’re an AD and you think he’s a good coach, hire him. If you don’t, don’t hire him. But worrying about how it “looks” when it’s SOP to hire a successful mid-major would be a mistake.