Why does it need 10ohm on the output? Maybe it should be 10k to sense when there's something plugged in? If it has a minimum load, surely that's already part of the internal design; who would design a PSU that exhibits runaway voltage if the motherboard connector comes loose? (But, I don't know anything about PC power supplies. I just screw it into a case and plug in the connectors and forget it exists.) Be aware that illustrative schematics frequently have a token load, sometimes designated RL that isn't part of the supply and is just there to show where the load (the thing powered) goes.
5W resistors are smaller, cheaper, and easier to find than 10W ones, so if you REALLY need about half an amp of load, use a slightly bigger value, like 12ohm, this will keep power dissipation to about 5W even with 10% overvoltage. And if you really do need a 10W 10ohm resistor, just bite the bullet and buy the right thing.
If you need a current sense resistor, then it should be some fraction of an ohm.