Sorry I've not looked at your posting history and am new(ish) to this game, at least I don't have any hives of my own yet, but I need to ask some questions
What type of hive and size of brood box are you running?
If you've taken 2 supers off and extracted the honey why did you put both back on, also when did you take the honey off?
If I interpret your post correctly when you put the clearer board on to take the honey off you thought the brood nest was congested. I know there are mixed feelings about it but to me that would have suggested you need to go to brood+half or jumbo brood next year if you're not there already.
I'm not going to try answering the feeding question because I don't have enough information but unless the weather is really bad where you are, surely such a large colony should be able to find sufficient forage at this time of year - my beans (climbing french and runner) are all in flower and covered in bees as are my autumn raspberries. The hive's of the local Association are certainly not struggling and they're had super's removed, including one last weekend.
Also what are the stores like in the super you didn't remove?