PCB area? You have that backwards: the inductor mounts the PCB, not the other way around.
Most in this class would be chassis mounted, with wire leads back to the PCB (secured in whatever reasonable fashion: soldered in, screws and lugs, quick connect..).
If you're having a lot of dissipation, then that would explain it: it's not a phase controller at all, and all the pulsing is a lot of wasted effort, or worse, an illusion that prevents one from seeing it as it is.
If you don't want to wind the inductor yourself (and you're probably better off that way, since filter chokes of that value are quite unusual, indeed -- perhaps Hammond has a few close enough?), you'll be absolutely all-around better off doing a switchmode circuit. Boring, yes, but it's just a power supply, that's how it should be.
Tim