I have that motherboard myself and it's not a great one for CPU cooler compatibility due to a poor CPU socket location.
On the plus side, the Hadron blocks any taller coolers anyway, so kinda by default you end up shopping amongst smaller coolers which tend to fit more between the mount points anyway.
The only issue you have really is that the fan on whatever cooler you pick will sit pretty close to the PCB of your graphics card and ASRock didn't do a great job on the rear of the motherboard so some backplates will not fit easily.
Memory shouldn't be a concern here really, low profile or otherwise.
Basically, you are looking for a tower cooler with a fan of 90-93mm which should mean it's comfortably below the maximum height requirement. There's a load of coolers which will work here, Hyper 101, Hyper TX3, Xigmatek Loki, EVGA ACX ITX to name a few. I'd usually mention the Arctic Freezer 13, but I don't think it'll fit on that motherboard.
Double check all of those though, as anything with a backplate might present problems.
EDIT
@ volcanoscout. On any other build I'd 100% agree that Noctua are excellent if for no other reason than their very comprehensive (if not infallible) compatibility lists. In this case though, I don't feel they have the right cooler for this case+mobo combo. Both of the coolers you picked out have significant issues here.
The U9 is officially speaking incompatible. If it was listed as compatible, it would be for the conventional "front to back" orientation, which is not how you would install it in a Hadron Air. Due to the depth of the cooler with two fans, I'm pretty convinced even you could get the backplate to fit, the front fan would have to be removed (at best).
The C14 isn't really well suited to this style of case (no venting above the CPU socket) and is
also listed as incompatible with the motherboard for the same reason as above.