The strain-screw is the first check, then the mainspring...as you found. However, here's a couple of checks I've done also, though it can be subjective. Open the cylinder and cock it as PawPaw described. Place a brand new pencil through the barrel so that the eraser is where the primer would be. Point it muzzle-UP, and drop the hammer. That new pencil ought to launch a couple feet up. Okay, so that's the 'energy' check.
Now, press the tip of your off-hand index finger onto the pin bushing, then drop the hammer so that your fingertip takes the impact. It ought to smart a little bit, though not enough to make you scream. That's a good check for pin-protrusion.
While the latter can be done at a gunshow w/o raising too many eyebrows, you
should get permission for the pencil check. Afterall, what goes up must come
down, and that can make some folks unseasy.