THE STICKER ON THE DOOR IS WRONG!!!!!!
A.) That tire pressure, on the "sticker" was developed by the Ford engineers for the OEM tire. I doubt you can even buy an OEM make/model tire anymore. Replacement tires will have different requirements, depending on load rating, speed rating, size (if changed from stock), manufacturing methods and materials, and other design characteristics.
B.) That tire pressure on the "sticker" was developed by Ford engineers to achieve the design/marketing goals of the vehicle when new. (ride quality, noise, vibration,etc...) It does not necessarily represent a tire pressure that will result in the best handling, lowest tire wear, greatest load carrying capacity, greatest tire life (heat/speed related), or best fuel economy.
C.) Ford knows/knew nothing about the characteristics of the tire(s) likely to be on the vehicle now, when that almighty sticker was printed. On the other hand, the tire manufacturer knows about their product when they build it, with the information stamped right on the side. No, I wouldn't necessarily run the MAX pressure on every vehicle, but I would never run 30psi, in anything. That's too low.
To the OP:
Stop listening to these "tools" trying to scare you with talk of liability if you don't listen to them, insurance companies checking your tire pressure, roll over,etc..... On a big, top heavy vehicle (like an Explorer), 30psi or lower could actually lead to greater instability in emergency maneuvering, vs 35psi or higher. Lower tire pressure tends to act like a softer spring. It'll give you a "gentler", more comfortable ride (think Cadillac), which is why Ford spec'd 30psi when new, for ride quality. However, it will make for more "boat like" handling (also think Cadillac).
Set the pressure at 35psi. Where you get the air from isn't too big a deal. You may have to try several gas stations, but I'm sure you can find one with free air. Unless you have a leak, this is something you only need to check once every couple of weeks. I would suggest buying your own decent quality air-pressure gauge, preferably one with a digital display (for accuracy). If you end up towing something, or put a really heavy load in the cargo area, you may want to temporarily increase the rear tire pressures up to maybe 38psi. Also, remember to set your pressure when the tire (and air is inside) is cold. Preferably, no more then about 5 miles of driving (to get to the air source), after sitting for several hours (overnight is better).
That's incorrect. The tire markings are related to it's max load condition. --True
You should always follow the vehicles mfg. suggested tire pressure setting, not the tire. --Wrong, see above
Over inflating a tire is just a bad as under inflating it. An over inflated tire will have a smaller contact patch and cause poor handling, especially in wet weather. --True, but 35psi is not over inflating. For that matter, neither is 44psi if that is at/below the tire manf. recommended max. Granted, it will be too high for an unloaded Explorer, and would likely give a bumpy ride. However, a tire stamped 44psi max tends to indicate that it is a higher load capacity and/or a performance oriented tire. In that case, 30psi would likely produce symptoms of under inflation.
Tirerack.com has some good info in their technical pages regarding tire pressure. --True