The single engine climb charts make no mention of bank, the associated conditions are listed as, max continuous power, flaps up, gear up, prop feathered, with adjustment if ice vanes are extended. Don't have the King Air emergency pages though to see what they say there.
Was just intrigued John as the FAR 23 manuals I've seen make a point about bank in the event of a failure, and they use the 5° figure. Their performance charts even include the 5° bank as one of the associated conditions, unlike the King Air chart. Whether you actually get to climb though is another matter.