Open any windows in the room before you start working to ensure proper ventilation. Strip away the first coating of paint. This is particularly important if that layer of paint is still bubbling and peeling from the humidity. You will not be able to paint over this. Apply a commercial paint remover according to the manufacturer's instructions.
Wash the wall with hot water and trisodium phosphate -- mix about 1 cup of trisodium phosphate to 4 gallons of water. Rinse the wall and allow it to dry completely for three to five days. Leave the windows open and, if you have some available, place fans in the room to increase air circulation.
Work on a day when humidity is low. If there is a deadline for your project and you can't wait for a warm, dry day, rent or buy a dehumidifier strong enough for the size of the room in which you're working.
Paint the wall. Use brushes or rollers to spread the paint. Spread the paint as thinly as you possibly can. When working in humid conditions, it is better to apply two or three very thin layers, which will dry faster, than to apply one thick layer that may bubble and peel. Allow the paint to dry completely between each coat.