Hello, I will try to assist you. Let me review Alaska's regulations
It took me a great deal of time but I located a compilation of laws that apply to mining (see here) The rules note toxic materials but do not specify Mercury in particular. My recommendation would to reach out to the Alaska Dept of Natural Resources and asking them for guidance here is their contact info:
As far as allowing the health department in. Generally unless you give them permission or there is an emergency they would need to obtain a warrant (court or administrative) to come on your property. You are within your rights to ask them the scope of their inquiry, what are they looking for, what happens if they find something etc.
and then base your decision on that. Note that you may have certain operational licenses that as a condition require your automatic permission to give the relevant parties the right to come on your property. You should review the licenses/permits that you have and whether they have such pre-conditions.
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