Greetings from the Mixtec Region of Oaxaca, AKA pit-cooked goat central!
Do you have any really dense rocks? Like chunks of marble, do you have any fired clay bricks? I kind of feel like concrete blocks are going to release their heat to fast to really slow cook that goat well. You can put the concrete blocks, then any all over inside layer of fired clay bricks. We just line the bottom, under the fire, with really dense rock. Rock that can hold a ton of heat without splitting.
burn the fire a long time, THEN we line the pit with maguey leaves--I'm guessing you don't have those in Oregon, but there is a really good chance you've got some Oaxaqueños in Oregon, you could befriend them and have them over to help. There's a cracked corn stew made with the blood that goes in a big pot and then the pieces of goat are arranged on top.
Here's a video