You talking about one of those solar kilns like a greenhouse with ventilation or one with heaters?
I’m curious to hear/see if anyone as built anything as well.
OK - several comments. First, I currently own 5 lumber kilns - four of which are solar and one is a commercial dehumidification unit. I don't typically dry firewood, but am reasonably knowledgeable about the subject of drying lumber.
Firewood is kiln dried primarily for two reasons. First, to accelerate the seasoning of the lumber so that it burns easier, hotter, and with less creosote buildup.
Second, in order to sterilize the wood and kill any insects, eggs, larvae, etc present. To sterilize, all portions of the wood must be heated to 133F or higher. The biggest concern in terms of pests in firewood would be 1 - lyctid powder post beetles, 2 - drywood termites, and 3 - old house borers. The reason these three are of concern is that they will stay in dry wood, and potentially infect other wood that it comes in contact with (such as the floor or furniture in your house). Other pests - such as the ambrosia powder post beetle, will not stay in dry wood or infect dry wood (furniture, etc) so they are not as much of a concern.
Depending upon the species, around 35% of the weight of green wood is water. Hardwood typically has a moisture content of 60% - 80% when green, and when fully air dried it will be around 15%.
Air drying is certainly the least costly option for firewood, but it will not result in a sterile product. However, if you sterilize firewood and then store it with unsterilized firewood, in all likelihood the sterilized firewood will become reinfected.
Most kilns use a combination of heat, airflow, and humidity control in order to dry lumber. Wood does not dry much once it's below 50 degrees F.
Dedicated firewood kilns usually use high temperatures to rapidly dry the lumber. As air is heated, it's ability to hold moisture is increased, so a typical firewood kiln will get the kiln temps very hot, and then exchange the hot air with outside air in order to get rid of the moisture. They repeat this cycle a few times in order to dry the wood.
When lumber gives up moisture, the evaporation can have a cooling effect upon the temps, which factors into the engergy costs. It costs less to dry lumber from 25% MC to 15% MC, versus from 60% MC down to 50% MC because of the cooling affect.
If you want to accelerate the wood drying process but want to keep your operating expenses low, then a solar kiln may be a solution. With most solar kilns you leave vents open in order to slowly exchange the humid kiln air with outside air that has a lower moisture content.
OR - you can simply place some high flow fans blowing across your wood stacks in order to accelerate the air drying process.
Most solar kilns may not get hot enough to sterilize firewood, so if sterility is a concern then repurposing a bulk tobacco drying barn would, IMO be your best option.
Hope this helps.