The higher the humidity, the slower paint will dry. If you've got a moisturetrap (and you should) there should be little dampness in your AB air. Heat will speed the outgassing or you can switch to something like lacquer, but lacquer isn't too fond of high moisture (IIRC).
Best thing I did for my hobby was move to Colorado. Not that I moved here for that purpose but it did help.
Even in the most humid conditions there isn't enough moisture in the air to affect the paint as it comes out of the airbrush. Humidity is measured in grams of water per kilogram of air. At 100% humidity a kilo of air might only contain a couple dozen grams of air. (I couldn't find how much volume a kilo of air displaces, but I can't imagine it is a small number. Several cubic meters would be my guess). Such a small amount of water in such a large volume of air, even at 100% humidity, it's less that a drop of water in a quart of paint.
However, paints dry by evaporation. (At least acrylics do). The relatively dry air wicks the moisture from the paint. If the air already has a lot of water in it it can't absorb it as fast.
I've got the oven preheating to 500° and the fan and the model sent upright and at an angle on a chair. The oven will provide the heat and the fan will blow the hot air onto the model sitting on the chair.
Just keep it warm a place a fan nearby. Heck, put it over a heating pad. Too much heat will deform the model. I once destroyed a beautiful kit while taking pictures of it because the 2 100w lamps were too close.
I understand. I've painted a model, looked dry, felt dry, but when I started handling it for longer period I was leaving finger prints and shifted paint.