According to the Violence Policy Center Alaska had the highest per capita rate of gun deaths in the country in 2008, the most recent year for which data was available (really?). Data is from the federal Centers for Disease Control:
"The analysis reveals that the five states with the highest per capita gun death rates were Alaska, Mississippi, Louisiana, Alabama, and Wyoming. Each of these states had a per capita gun death rate far exceeding the national per capita gun death rate of 10.38 per 100,000 for 2008. Each state has lax gun laws and higher gun ownership rates. By contrast, states with strong gun laws and low rates of gun ownership had far lower rates of firearm-related death. Ranking last in the nation for gun death was Hawaii, followed by Massachusetts, Rhode Island, and New York and New Jersey (tie)."
Alaska is listed as having a gun ownership rate of 60.6 percent with 20.6 gun deaths per 100,000 people. Hawaii had the lowest rate at 3.2 gun deaths, with a household gun ownership rate of 9.7 percent. What would be more informative would be to break the rate down by homicide, suicide and accidental. Suicide is the most common type of violent death in Alaska.