From what I can tell, looking at Wikipedia:
Five states with lowest rates of gun death: Hawaii, Massachusetts, New York, Connecticut, Rhode Island. (https://en.wikipedia.org/wiki/Firearm_death_rates_in_the_Uni...)
States with constitutional carry: Alaska, Arizona, Arkansas, Idaho (residents only), Kansas, Maine, Mississippi, Missouri, New Hampshire, North Dakota (residents only; concealed carry only), Vermont, West Virginia and Wyoming. (https://en.wikipedia.org/wiki/Constitutional_carry#U.S._juri...)