Hi Dave,
I now use the same method Eric described. I used ammonia on the last 5 barrels I browned and it worked very well, even during some hot, humid days in summer. I am sure the high humidity where you are does not help. After stopping the browning and wiping with ammonia, and then applying oil to the warmed barrel, I let it sit for a couple days to see if any after rust still develops. Also Dave, I tend to prefer really smooth, almost polished browning and bluing. To accomplish that, I apply solution frequently and card after only 2 hours. In that process, I find that browning solution diluted with alcohol slows the rusting process producing a finer surface. It also greatly reduces risk of after rust.
dave