If we are talking about what's seen as manly, then how about enduring a long and complicated life until your last breath or fighting for a lost cause even if it means to suffer longer LIKE A MAN, TESTOSTERONE!!!
Honestly, you can look at suicide statistics and see which methods are preferred by each gender, males usually go for fast, gory but instantaneous methods like jumping, guns, drop hanging or even car accidents, many of those are actually suicides in disguise.
While females tend to use overdoses, poisonings and cutting, all potentially inefficient, but more discrete and keep the body better preserved. I'm a male but I'm going with one of these methods 100%.