Yup, smaller wheel is how to lower the gearing on a hubmotor.
My most spectacular motor melts have been like many others have been. The motor is rated for about 800 watts, and I'm putting 3000+ into it. Gee I wonder why it melted? In the DR, I had heavy loading due to riding on a flat. On the 2810, I was climibing REALLY steep hills. Ones 4x4's have trouble with, and dismounting to walk up them with a bike, it's hard not to slip and bust ass.
So however you are riding, once you overwatt a motor by 4x or so, you are asking to overheat. Pedaling when running such a overwatted motor is pointless, It has little effect. Pretty much all you can do is vent the covers, and then make sure your ride stops before the motor reaches 400F. The ride gets very short of course, if you include hills too steep to even stand up on.
Now, as for humidity affecting air cooling metal. Thousands of desert dwelling VW bug owners know you are wrong. Too many of us learned that in June, you had to stop in time or you'd suck the valve on cylinder 3, where the oil cooler blocked some of the air flow in a doghouse motor. This problem pretty much dissapeared in July, when the monsoon rains arrived, and you'd have water molecules in the air and ambient temps just as high. Ambient makes a difference too though, as you say. In the spring, humidity might be just as low, but ambient temp below 90F meant better cooling, and no problems with the 3# exhaust valve. This effect is noticed both in high desert like my town, and in low desert like Yuma AZ. The ambient in Yuma is so high though, that you have to be carefull with a bug in that town all summer, not just in june.
Riding my hubmotors with a thermometer, I observed the same thing. In june a hot hub tended to stay hot a long time, while in July a hot hubmotor could cool off again a lot quicker. A nitrogen molecule has very little abilty to absorb heat. A water molecule can absorb a huge amount. That's a fact. Put btu's into air and watch how fast it heats up. Put same btu's into water and you can barely measure a rise in temp.
For most people ouside of the sahara or middle east, it's hard to get it how low the humidity can be here. Below 5% humidity is really really low, and only a few places in the world get that low, We do. At the death race, btw, humidity was only about 5%. All the gassers were concerned about cooling too. Most weathermen will start talking about low humidity because it's 30%. At 30% humidity, we never worried about our bugs cooling good enough. It's not about evaporative cooling. But of course, if you want to cool off hot metal fast, wetting it and letting evaporative cooling happen works great.
Density altitude is a different subject, and really hard to understand, let alone explain. It's the most flunked subject of all on a pilot exam. That effect is very counterintuitve, and how temp and humidity affect propellors, engines, and wings is totally different thant the dry air doesn't cool effects I keep talking about.