Annette, I suppose that is good news, how is your honey production so far this season?
I'm also using the Honey Run top covers with SBBs, but we've had mixed results with bearding. I'm not convinced that bearding is what you want to avoid, I think honey production is the bottom line and the better ventilation definitely helps.
We added this set-up late last year to both hives and used the insulated insert over the winter on both hives. We lost the 2-year old hive but the first-year hive survived the winter just fine. We replaced the ones we lost (Italians) with a new package of Minnesota Hygienics in April. Both hives built up well this spring and despite lower than normal rainfall, the 2nd year hive (Italians) started packing their first super on May 3rd. The new hive (Minnesotans) started moving into their first super the last weekend of May.
By the end of June we noticed the Minnesotans were bearding, but the Italians were not. It didn't seem to matter if it was a day in the 70s or a day in the 90s. By July 5th we needed to harvest from the Italian and took two full supers with a net production of 65 lbs! We left one full super that wasn't completely capped and added an empty one that day.
Now it's worth noting that 65 lbs already surpasses any single year's harvest we've seen in our 3 years of beekeeping and this was just spring honey and just from one hive.
As of today (July 12) we just added a third super to both hives and since July 5th, they've both done a tremendous job of packing nectar. However, both hives have been bearding every evening since July 1st. Again it didn't seem to matter if it was 90s or 70s. It also didn't seem to make any difference after giving them more space with a new empty super. They are even bearding today when it is only 71 outside and they both have new empty supers just installed.
As for production, barring any tragedy, this is looking like our end-of-summer harvest could be 3X more than we've already taken. A banner year indeed! If they can produce like that while bearding, why should I care. If the better ventilation has made them more productive, I'm grateful.
More details and photos of the bearding is on the blog here:http://beesandblooms.blogspot.com/2008/07/bee-bearding-observations.html