Usually i use a 4w sensitive ohmmeter (34401a), an adjustable psu and a thermocamera. If the basic tests with the ohmmeter doesn't find the short (but you can identify the area of interest), i start to put 50/100/150...ma up to 1a to the short while monitoring with a thermal camera. A small capacitor can heat up and become visible with as low as 50ma (if dead short, not totally shorted can be 100/200ma), a semiconductor with good thermal dissipation (smt devices with thermal pad) can need up to 1a to show a rise of few °c. A good psu is a must. It must not have any poweron spike, good current regulation, and an on/off button. And avoid to "hot plug" the pcb under test while the psu is powered on, as all psu have some output capacitance and is sufficient to put some serious currents if hot plugged. Use always the on-off button. I use a korad 3305, cheap and do it's job.
I'm also interested in the shorty device, for sure it can save a lot of time in the first test of finding the short.