I'd personally end up doing what I saw in a Korean onggi video if I didn't want to deal with dust or small 5-gal reclaim batches. If you can do it, store your reclaim in trash cans and wait until the weather clears (or do it somewhere indoors i suppose). They can be outdoors since you said no space inside.
Simply pour/scoop out your reclaim slurry onto a big plastic sheet/tarp, let it evaporate to the consistency you like, then cut strips and roll it up like sod grass. Run these through your pugger and store them/use them. To me it seems like much less work than doing smaller batches.