If you are keeping your guitar consistently between 45 and 55 percent humidity, I wouldn't expect any humidity based issues.
If a neck is given more bow, the 12th fret action will rise. Have you checked to be sure your truss rod is adjusted properly??
Many factory glued bridges are not well attached, with too much overlap (underlap, actually) of the top finish extending into the area under the bridge. Often there is also little true wood-to-wood contact. Hence, many times it is best to remove, clean, and cut back the finish of the guitar to the actual bridge shape before re-gluing a true wood-to-wood joint.
Regarding neck reset, we don't have enough information to make a judgment. How high does the saddle protrude from the top of the bridge at the high E and low E? Also, how tall is the bridge at the high E and low E.
Here are some photos of bridge removals (scroll ahead for more - about 5 shots of bridges and scoring the soundboard finish around the bridge shape):
https://www.facebook.com/photo.php?f...type=3&theater