According to Dave Meltzer of the Wrestling Observer, Dean Ambrose was originally scheduled to face Kane at the Battleground pay-per-view event, however, those plans were changed.
As of now, Ambrose doesn’t have a match for Battleground, and Kane did an injury angle on Monday’s RAW so it appears that the two will be left off the show.
It’s always possible WWE books Ambrose in a match on the show against someone else.