You should be able to move your ECD however you should keep in mind that the make up gas adapter gets heated and cooled by the oven constantly and when you disconnect it and pull it out there is always a chance of a small fracture developing. I've successfully moved them tons of times without any problem, but have had to replace at least 2 of them. I wouldn't let it deter you, just be careful and don't flex it too hard

. I would also do my best to prevent any of the insulation from getting into the ECD.
I have giant hands and feel your pain, especially with the 6850. The volume of the oven is basically the same as my fist and replacing the oven shroud is a major pain in the ass. On the other hand, installing a column in the 6850 is a breeze.
I've gotten much better at installing columns, putting a septa on the inlet side in order to hold position easier is very helpful. The method I've found to be easiest is to guide the nut into the threads using two fingers, give it a few turns and then apply slight pressure with 1 finger to the septa/nut in order to hold it in position. Switch to your wrench and finish screwing it in.
It really does seem like they could develop a nut that clips into position rather than screwing in.