Treating possession of guns as a revocable privilege, with the necessary licensing and registration to make it meaningful, would very likely result in fewer gun deaths. I think it is pretty likely that this will continue to get more politically tenable over time (my hand wavy impression is that younger people are generally less interested in guns, at least, lower rates of young people care about them).

Insurance might come into play in such a world, if people were made liable for (at least some) misuse of guns registered to them (the at least some means that I would hope such a thing would only really come into play if actual negligence were involved).