It will fit in the rectangular double case... that's what that case was designed for. I have seen several w/ Switchbacks inside.
KBacon is on target here. I have the Switchback and have this SKB case and I flew from Ohio to Sask. Canada this past Sept. using it plus used in the small boat to and from the stand every day for five days. It held up and my bow was in perfect shape after all that abuse.