I wouldn't be surprised if mid-June holds some promise across the northern High Plains. Not the most classic chase territory (Montana/western Dakotas), but even with ridging over the central U.S., trough ejections from the west should at least give the region a glancing blow. As some have mentioned, the threat zone will likely be displaced into the Canadian prairies at times as well.
There are always the northwest flow events that sneak into the Upper Midwest/Great Lakes region, although the chase territory may not be the best. Saturday has shown a signal for a while now in the Michigan/Ohio vicinity...
In the shorter term, despite some model progs (namely GFS), neutral or slightly rising heights will likely mitigate any substantial threats for the latter portion of this week.
1998 has been showing up in the analogs (not as much recently, but still sporadically dotting the GEFS/CPC analogs) and that was a fairly robust June. I would be willing to bet that the second half of the month is more active than the first.
Since I had a fair amount of time off from chasing in May and I'm taking the first third of June off, I will be out for a couple of weeks around mid-June regardless. At least the coming weeks look better than the past week, which has essentially been a complete dud.