Lots do, with rifles.. the NRA lies a lot about Australian gun laws... sad to say, hanging is the method used the most, and men do it more often than women,
The highest suicide rate for females was in those aged 85 and over (10.6). Females aged 40–54 accounted for 25.8% of deaths by suicide among females.
Males aged 40–54 accounted for one quarter (29.1%) of deaths by suicide among males.
The pattern of methods used for suicide has changed greatly, sometimes rapidly, over the last century as new methods have become available or as restrictions to the availability of some methods have been introduced. The methods of suicide used by males and females differed over the period 1907 to 2022; however, as males account for the majority of deaths by suicide the methods used by males have a greater influence on the overall pattern than the methods used by females.
Deaths by suicide over time page on the Australian Institute of Health and Welfare website
www.aihw.gov.au