(Before I say anything, sorry, I don't have any useful experience with sheds)
I too have recently had a phase of romanticizing building a shed for air- curing, flue-curing, or even kilning tobacco, although due to where I live (desert), the components of the potential shed I imagined were different. As a result, I "wasted" (and enjoyed) hours of searching up old style tobacco barns, mostly meant for flue-curing. You can find pictures and some articles about old flue-curing barns from the 1860s to probably around the 1960s (the prefabricated metal bulk-curing barns made tobacco barns obsolete, which is probably one big reason there's not much on the subject of small sheds dedicated to tobacco). Apparently, a slave boy in the 1800s had fallen asleep while tending the flames of a flue-curing barn (someone had to be watching at all hours to maintain proper temperature) and tried to reheat the fire with charcoal in a hurry and ended up with bright light-colored tobacco leaves (a good thing, it turned out). Either way, you can also find historical projects/articles on tobacco barns because some people want to document/preserve the once common building as cultural heritage (they have a strong case for why they're relevant/important). I know at least one of those cultural preservation articles had detailed illustrations/floor plans on a old flue-curing barn.
Anyways, on my own search for a small shed/building a shed, I am going to assume that what you envision is pretty small so you may not need a foundation. One of the first major roadblocks to my pipe dream of a personal shed was the requirement of building a foundation (no time, no space for a shed anyways). If you went through the whole effort to build a shed, a temperature/humidity controller would be very helpful in automating the process for you, but one worry I always had is whether a conventional humidifier could withstand temperatures up to 160 F/74 C. Same with whatever heating device your using. In addition, I think many heating appliances would turn themselves off after reaching a certain temperature (although idk what a diesel heater is).
However, if your shed is small enough and insulated well enough, you could maybe envision the tried and tested crock-pot method, which is in the key forums, but with either bigger and/or more slow cookers.
Finally, although I don't mean to discourage your shed idea, I have a feeling most people here would say with all the effort you seem willing to put in, you might be better off just building a foam insulation kiln at a larger scale. For me, I kept on putting off the idea of such a kiln because I liked the shed idea too much just cause "that's how they used to do it", but it's just out of my ability at the moment. However, if you ever go on building a shed, I'll follow your results on it with great interest