Building in the wet season

We made it through the wettest part of the year hopefully. The roof is on and the plumbers and heating guys are all but done and the electrician is roughing in. The well equipment goes in tomorrow so the next step is insulating and gyprocing. The only problem is that there is so much humidity that we cant dry the house out. Last weekend, we had quite a bit of rain and the air was holding lots of moisture. So much moisture in fact it was condensing on the cool concrete. The concrete walls and floor are actually sweating like the windows from too high a level of humidity. Hopefully we get a dry week or so to get it down a little. We didn't have this issue in the Prairies. You froze your butt , but humidity this time of year was not an issue.