If it happens again (in any vehicle for that matter) before you have time to perform any of the above fixes, try unplugging one headlight. It's easy and will reduce the load on the switch by half.
Sometimes that's enough to cure it temporarily, sometimes not. But at least it's worth a shot.
The relays actually allowed me to keep the old problematic switch after my first experience with that. Still in there to this day. Now that it only carries a small fraction of the current it used to, it's not opening the circuit-breaker any more.
Not that a new switch is not a good idea of course, but that just lets you know how effective the relay upgrade is.
Thanks for the shout-out (link-out?) Rox. Here's our other offering as well:
http://www.wildhorses4x4.com/product/NightLighterHeadlightHarness
Both are nice pieces. The less expensive one merely leaves out the little jumper option that allows you to run both the high-beam and low-beam on at the same time.
Also, imported vs Made in the USA. Which is why I'm glad we offer both.
I can't find the link at the moment Remisdad, but we also have a YouTube video of the headlight R&R process that astark was good enough to provide the blow-by-blow for.
Paul