If you had straw to mulch with, I would drop a layer of straw maybe six inches thick and drop a tarp over it, within the hoop house.
I wonder, if one had oxygenated
compost extract, if such a straw layer were treated with it, would there be any thermophilic activity in the event that the night time temperatures stay low for a few days?
Conversely, and it might take too long unless you have a source of living thermophilic bacteria, like a hot compost, it is possible to mix up and inoculate fresh compost in perfect ratio of greens to browns and have it heat up. If the pile(s) were under the same tarp, whatever heat was generated would be trapped under the tarp.
And the best part, as long as you have straw, a tarp, and compostables, is that you don't really need to buy anything, and once it's done, all you're left with is compost in varying levels of decomposition.
Hope your stuff survives, and I hope you find a solution that pleases you.
-CK
A human being should be able to change a diaper, plan an invasion, butcher a hog, conn a ship, design a building, write a sonnet, balance accounts, build a wall, set a bone, comfort the dying, take orders, give orders, cooperate, act alone, solve equations, analyze a new problem, pitch manure, program a computer, cook a tasty meal, fight efficiently, die gallantly. Specialization is for insects.
-Robert A. Heinlein