The headlights should not be fused in the first place- - - -they should be on a self-resetting circuit breaker. In a properly wired system, there should be no shared circuitry between the headlights and the turn signals, so either someone has made some massive mistakes when they wired your electrical system, and/or you have two problems happening at once. The most common place the headlight circuit develops problems is the dimmer switch- - - -it carries some heavy current and it's in a very hostile environment down there on the floorboard.
Jerry

"It is better to be silent and be thought a fool than to speak and eliminate all doubt!" - Abraham Lincoln
Cringe and wail in fear, Eloi- - - - -we Morlocks are on the hunt!
There is nothing noble in being superior to your fellow man; true nobility is being superior to your former self. - Ernest Hemingway
Love your enemies and drive 'em nuts!