With the amount of RNG in the game, with how a wrong perk makes you destroy an almost perfect weapon, being able to try your chance at raid loot only 3 times per week is ridicolous, maybe the first completition should reward powerful/pinnacle gear but the next ones normal gear, raid chests could still stay weekly, of course.
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You don't want to do this, it will create a further divide between the raiding and non-raiding community. If you can get rewards from every run, the motivation will be to do them as quickly as possible. I think a good compromise would be to add repeated drops from Guided Games raids if you are a Guider, this way, it creates incentive to help the community learn how to do raids.