I had Corator DS there, i know that one will fit for sure, but i didn't used any of the HDD mounts when i had it in my system.
Currently i have HR-02 oriented towards the right side (away from the PCI-E slot), because i needed a GPU on a system, sure, it blocked all inner HDD mount points, but i was still able to use the outermost ones :

When looking at HR-02
drawing, it is possible that it would block the back fan, but to be honest, the whole thing is so close to the back of the case that it is pretty much the same thing even if you would have the fan mounted on the heatsink.
Considering the way i mounted the whole thing, we talk about 6mm difference at best between mount towards the side vs mount towards the back panel considering the drawing of the cooler. There was this much "free space" after i mounted HR-02 :

NF-A14 is 25mm wide, so without the back fan, all three of the coolers hould be doable, with the back fan it is Corator DS for sure and HR-02 probably.
Another alternative is just to get one of those thin coolers, like NH-U12S.