I live in Illinois as well and with my AC on all the time, I don't get rancity like you mention, however, I do get it faster when I store my curing soaps in a much hotter room (not all rooms are as cool as the main floor). My oils are different that your oils, though. So is my lye.
But my suggestion would be to ensure your curing racks are not contributing to the problem. Perhaps the curing area has become contaminated and needs a thorough cleaning before put back into service. Ensure there is no residual contaminants on whatever your soap may come into contact with during the curing process. It could be as simple as that, or a combination of factors.
My lye usually comes from Essential Depot, but I also occasionally use lye I purchase from Tractor Supply Company (in the plumbing aisle). I have used lye from the Lye Guy and other sources as well. In my experience, I have not ID'd any of the lye I've used as the contaminant causing rancidity, although I know that is possible. More often than not, it has seemed to be caused by the original oils used, but sometimes I have discovered a nearby contaminant (another rancid soap, for example) was the most likely suspect.
Even when oils are supposedly fresh (as in you just purchased them), it is possible they were stored improperly before they ever came to you. If that were the case, it could contribute to the problem. In the past I learned that oil stored in my garage inside closed containers will go bad really fast once opened (no AC in the garage. - I don't store it there now, but I did in the past.)
As mentioned before, adding ROE to the liquid oils as soon as I open the bottles can help prevent DOS, but I also suggest you read up on how to prevent DOS in
this link, as ROE alone isn't as effective as when in combination. Personally, I use ROE in the oils and add EDTA when making each batch of soap. Others here use some of the other combinations mentioned in Dr. Dunn's article.