I found some plans to make one out of a poly tarp... I've since made two, one kept in NY, the other here in LA, as well as a poly version of Whelen's "Shelter Cloth", which looks like a USGI shelter half (though its rectangular portion is a foot or two bigger in each direction), to which I added a canopy, like his Lean-to design. Used it this past weekend.
Here's a picture from the trip with my wife. As it rained all 4 days, I hung another tarp in front to protect the fire. My wife commented that it was much warmer in the Whelen with a fire going than standing outside... she referred to the area as "the living room".
I have kept one of these shelters in/around my deer hunting leases (land you pay timber companies to hunt on, vs dealing with the general public on state/federal lands), and created a semi-permanent camp on each one. Great piece of gear, and SO easy to set up in the same place a second time if you leave an overhead pole and stakes in place.
Well, My Whelen arrived and I got to set it up quick the other night after work. He she is along with me and my bird dawg... Oh, and that IS NOT my campfire it's just the pile of wood that I picked up to be used for camp fires.
I would love to see some pics of your Bekel Whelen Southcove. I almost ordered mine from them as Bekel has a great price.+1 on the Whelan. We have one from Beckel in canvas, the off green color which really blends nicely into the woods when looking in from lake side. My son is great w a natural eye for optimum setup. His old dad, not so much! Very useful, have used it more as a weather fly. Next up is a full zip wedge tent (or Baker Tent style) with a full velcro mosquito net add on... enough shelters for one man!
I am getting ready to buy a Whelen Lean-to this spring. Over the last few years I had hoped that Tentsmiths would get some good light weight cotton canvas, but seems they haven't found any in a long time. That said, I am thinking I will go with Beckel, down in Portland, OR. Mainly because I really like the wall tent and bedroll that they made for me. They don't use treated canvas, which I also like. Before I send off my order, I wondered if anyone here had any leads on a more light weight Whelen, but still being made of cotton.