Will Noctua DH-14 fit in my case?

Just out of curiousity why do you feel the need to put a $80 cooler in a -$40 case.?.
Yeah it won't fit.
System specs please.

Just out of curiosity, do you even know that case doesn't matter that much but aftermarket cooler does while overclocking a cpu? I read somewhere that it fits

Anyway

i5 2500k
G.SKILL Ripjaws X 8 GB CL8
WD Black 1 TB
Asus P8P67 PRO
EVGA GTX 460
Corsair CX 500
CM Elite 430

Which case should I upgrade to? And is there any better aftermarket cooler in this price range?

Well since i own a 430 yes i know that case.
The space between the cpu socket and the top panel isn't exactly spacious.
I think you would have issues with a D14.
7.5" would also make for a tight fit since the D14 fans stick out even further from the cooler top.
I don't think there's anything wrong with a 430 case.
It will fit plenty of good coolers mine has a 212+ in it.

Other cooler is Hyper 212+ and will fit

And which case should I upgrade to if I want good airflow and the DH-14 to fit? Is Antec Nine Hundred Two V3 good?

I have COOLER master Haf 922

I had that cooler in my cm elite 334 although it fitted it did touch the side panel.

That cooler don't fit and the Hyper 212+ will fit but a little adjusted.