Zotac isn't the brand I would recommend. I'd put Asus, EVGA, MSI, then Gigabyte ahead in that order (also depends on card model).
The Zotac cards may be just fine though.
I can't find a Zotac "Turbo" model. Is that another brand?
Asus has one and it's a BLOWER STYLE card that exhausts out the rear, but you should always AVOID those cards unless your case has poor ventilation and needs the hot air blown directly out the rear.
Because blower style cards are louder.
The Zotac Mini also appears to have COIL WHINE on a higher than average number of cards from what I can tell.
Of the CHEAPER 1070's, I like these two the most:
https://pcpartpicker.com/product/ph38TW/evga-geforce-gtx-1070-8gb-sc-gaming-video-card-08g-p4-5173-kr
and
https://pcpartpicker.com/product/YpH48d/gigabyte-geforce-gtx-1070-8gb-g1-gaming-video-card-gv-n1070g1-gaming-8gd
That Gigabyte is large, but if it fits it should be very QUIET under load. I'm not sure how good the Zotac Mini is. It's not "loud" but it's louder than other 1070's with larger coolers.