So ya after attempting on 4 different occasions to get down Crota with a full group of people I came across this.
Video 2 manning Crota
The strategy is pretty awesome. I think we could apply this to a 6 man group. They wait until Crota is on the sides while they hide in the rooms under the boomers. When you get the sword everyone runs up while a Titan bubbles at the top of the stairs.
Well worth the watch. They did other vids as well 2 manning each part