There's a good chance you don't have the problem, but if you do -- be aware that you can't measure methyl bromide in tablespoons -- it's a pressurized liquid that boils to gas (like propane) as soon as you release it. And it's very toxic, and therefore highly restricted as to who can buy it and how/where it can be used. So that's really out of the question, I think.
If you have Armillaria/Clitocybe, you should be able to find clumps of the old mushrooms, dried out, near some of the old stumps. If there are none, I'd assume the disease is not present.