Since you don't need crazy cooling on a build with a 1060-1070, I'd go with a big heatsink block cooler (as long as you got room in your case for it). I just upgraded from an i7 4090 processor on a 1070ti and it had the BeQuiet ShadowRock cooler. It was awesome. Kept my CPU super cool for the 8 years I ran it.
This isn't the EXACT same model from 8 years ago, but you get the idea. Similar price that I paid back then too,
https://www.amazon.com/quiet-Shadow...ocphy=9003740&hvtargid=pla-907686588156&psc=1
Since it's just a regular fan on the side, the heatsink is doing most of the work to disperse the heat. The fan is just blowing it off and ideally back out into an exhaust fan to the rear of the case. Shouldn't use much power at all.
EDIT - Rather than give you a random cooler, I looked based on your actual chip, lol. This would be equivalent for your build and slightly more expensive (80),
https://pc-builder.net/cpu-cooler/be-quiet-dark-rock-pro-4-50-5-cfm