So, my idea is this :
For all the [b]Exotic weapon from raid[/b], (Thousand Voices, Anarchy, etc...)
Out of season, (when the [b]raid season[/b] is over), each time you open the chest who could containing the weapon and you do not drop it, [u][b]you gain 1% more chance to drop it per character per week[/b][/u], and when you finally get it, the % of drop return to normal.
So it makes [u]3% per week if you have 3 character[/u] and you open each week the chest with them.
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I think it should either be Do a certain amount of runs and get it to drop 100%, maybe 25 completions of each encounter? Other option is to do a raid quest line. Beat the raid once and quest will drop. it'll be something like a mini story mission explaining the backstory of the gun and you have to collect each part to build it. Each piece requires very challenging tasks to complete.