Noctua and hyper212 are both about the same height(160mm), and will fit most cases.
Where you might have an issue is if you have ram with tall heat spreaders, in which case the noctua may well be a problem.
Noctua NH-D14 is about as good a cooler as you can buy, and it is priced accordingly.
I think the hyper 212 is a good value cooler, and should serve you well, particularly compared to any stock cooler.
You did not identify exactly which apevia case you are using. Case cooling may be more of an issue.
Take the side panel off, and direct a house fan at the innards. If your temperatures drop significantly, you have a case cooling issue.
Faster/better fans might help, or even spending the $40-$90 budget for the cooler might be better spent on a good cooling case.