tautech, thanks for the great suggestions. So the LM338 would be able to dissipate more power than the 2N3055 if I were to replace the pot as you suggest, with a higher resistance one? I'm a young enthusiast without much experience or budget, so really appreciate all the help!
Tena Koe
It's the current capability that is the advantage over a LM317, sure there will be more dissipation too.
But honestly do you need 5A? 1.5 A with SC and thermal limiting is likely to be all you need for hobbyist use. And if it's not, look at upgrading the PSU later.
Just follow the datasheet typical application, but I'd suggest you add an additional ~3A diode just before the output for protection. Connect your output voltmeter after the diode just before the outputs.
Do some more Googling for basic LM317 circuits, they're quite easy and so simple you can just "rats nest" them between device terminals or tag strips.
You might even be able to use part of the PCB, even just for launching connection leads from.
You'll look back on this in time and wonder what all the fuss was about.