I like the Sibley. It was patented in 1856. I imagine the stove was patented about the same time as it dates to the War of Secession, but I haven't seen the patent info on that. If I had a conical stove, I'd be sure to dig an airway below it to feed the combustion but all that is wagon transport stuff or will fit on a pack mule sans the stove.
My wife is not a fan of period camping so that allows me to be as nasty as I want to be. If I can trim some mountain goose or a comparable nest over which to throw my blanket with clothing laid out upon it and a sheet separating me, wrapped up with my oilcloth on top. Another is to make a conical sapling or branch shelter shingled with evergreen or oilcloths, but with the same sleeping arrangement below. I followed the advice of the Prairie Traveller (written 1859) and it actually works out nicely. DC Beard also wrote on constructing a similar shelter.