I use the same meter and test strips as you do. From the Bayer USB FAQs-Features [Test Strips] website in regards to "humidity":
Q: Do I have to close the bottle every time I remove a test strip?
A: Yes, the bottle is designed to keep the test strips dry. Exposure to room humidity from leaving the bottle open or not storing them in the original bottle can damage your test strips.
All test-strip bottles have a moisture absorber in them. The reason for this is to keep the reagents in them dry. The blood sample that's sipped up into the test strip reacts with the reagents in order to produce a significant conductivity that the meter reads in Ohms resistance. This is why it takes 5 seconds to read the blood test. The meter is waiting for the reagents to mix with the blood enough to read the continuity. Moisture in the air (humidity) has almost zero effect on test strips that are just picked from a test strip bottle. You'd have to be testing in a steam bath and leave the test strip out long enough for the moisture to enter the channel the blood is drawn into.
You can test drive this by using one of those kettles that you make hot water in for tea. Put the kettle on, wait until it starts whistling, then take a blood test away from the stove. Now do the test again with your finger held high above the steam (99% humidity) and I doubt you'll see a difference, if any.
I know I'm talking Relative Humidity as opposed to Absolute or Specific Humidity...but let's not get too anal about this.