CKError: Query filter exceeds the limit of values: 250 for container

You're requesting more CKRecords to iCloud before your query operation finished.

...
operation.queryCompletionBlock = {
    (cursor, error) in
    if let error = error {
        //handle error
    } else if let cursor = cursor {
        self.fetchVisits(cursor)
    } else {
        //all done!
    }
}
...

Function self.fetchVisits(cursor) call is done inside the completion block, this means that your are requesting for more records before your current operation has finished.

Possible solution is to use a closure (completionHandler) in which you include the CKQueryCursor, when user need more records (scroll a table or whatever) you call one again self.fetchVisits passing the cursos received on your closure.

Ok, so I've seen this before and the issue is, I believe, a bug in on the CloudKit servers. In my experience, it has to do with complex queries.

If you try changing your predicate to:

NSPredicate(value: true)

Or even simplifying your existing one by removing the ANY part, that may be enough to fix it.