Sorry if this sounds harsh, but if you continue to drive in places where there are nails on/in the roads, then it won't matter what brand of tire you get....
I've had cheap, no-name tires & I've had top-tier Michelin's, Goodyear's, Kook's & Pirelli's and they are all the same in this regard...
Granted, some super thick-tread, heavy-duty off road tires might be able to survive picking up a nail here & there for a while, but even then they will eventually fail too.
But other than the above, nails + tires = no workie, period, no if's, and's or butt's......
As for ride quality, noise & durability, well that's another subject altogether, but generally: "cheap is as cheap does"