Fortunately, wet sand is simply a mixture of dry sand and water. Each sand grain gets wet on the outside, but doesn't absorb any water. So the vapor pressure of the water in the sand is simply the vapor pressure of water at the wet sand's temperature and your local atmospheric pressure. You can look this up easily enough, here
for example. (I assume that this table is for standard sea level pressure).
This is a bit of a simplification, but essentially evaporation is driven by the difference in vapor pressures. The higher the difference, the faster the evaporation rate. Having air with a relative humidity of 80% makes the job a lot harder, as it just can't hold much more water.
The partial pressure of the water in the air is a function of temperaure and humidity. If you heat the air the absolute humidity (mass of water per mass of air) remains constant, but the relative humidity decreases. Unfortunately the vapor pressure of the water in the air also increases.
Also, the hotter the air, the hotter the sand needs to get to maintain a decent driving differential. Of course the air heats the sand as they pass. Fortunately you can't damage sand by overheating it.
Its really best if you can take some of the water out of the air before it enters the drier.
I hope this at least gets your thinking headed in the right direction.
Of cousrs you could always take the brute force approach. Just heat the sand above 100C. But this is hardly efficient, and not nearly as much fun.
I found these two web sites interesting.