Caught a swarm yesterday, big 'un. I put it in an 8f deep and had to put another 8f medium on top. When I dump them in the box I leave a queen excluder (now an includer) underneath the bottom super for a day, maybe two. When the bees are dumped in the super a large folded towel is laid on top of the bees to gently push them down.
I had an inner cover laying by the box. When I went to get it I found a couple of small hive beetles. When I removed the towel I found about 3 or 4 more. To me this supports the theory that SHBs will fly with or follow a swarm.