I feel for you, I would be beside myself if I couldn't wear makeup (I also need considerable "concealing"). You need to become a detective of sorts, analyzing the ingredients in the foundations that give you problems and compare them to the ingredients in foundations you can tolerate. Concentrate on the first 3 ingredients listed as they will be in the highest concentration.
From what I've read, titanium dioxide and zinc oxide do not clog pores, but mica can. According to their sites, EDM and Meow's primary ingredient is Mica, Lauress mica is the 2nd ingredient. You mention BE didn't break you out, mica is much further down the ingredient list than the other foundations you mentioned.
Maybe this is something to try - a mica free foundation, or a foundation where mica is at the end of the ingredient list. Foundations will little or no mica are not easy to find but they're out there. I personally have to avoid high concentrations of mica because it causes eyelid dermatitis and gives me an itchy face
. Please don't give up, you'll find the culprit eventually.