In the interim, I replaced the dryer with a chrome (Ikea) shelving unit, a vapour barrier shroud (literally 5mil plastic), and a regular house dehumidifier.
For a full load of towels--or any heavy water absorbing material really--run times were about 2-3-5 hours. Clothing would be brought to the whatever humidity value "Continuous Operation" would cause. In general I assumed that was lower than line drying would cause, but less than line drying with direct sun exposure.
There was some effort involved in sorting clothing onto shelves. But very little real effort. About as quick to shelve and unshelve a full load as... well, doing just that. (10 minutes?)
I would probably avoid this with clothing that rest against high-bacterial load, high-smell areas (armpits, feet). Or more importantly, change my process for washing those items.
It would be a relatively straight-forward process to build a large drum machine based on an industrial dryer barrel, and attach an inline dehumidifier, and then run the drum in an intermittent mix mode.