What emergency care facility is available in our county when someone with Alzheimer's gets agitated?

Lovepat, w/o research, only people familiar with your specific county could advise you.   But you can do that yourself, although research today would be limited to online b/c of the holiday.

Some suggestions:

1.   Use a search engine to get hits for topics such as "Alzheimer's, emergency care", in your county, or adjacent counties or even your state.  Think creatively and do subsearches for specific topics, like companionship, or those relating to out of control behavior.

2.   Search medical sites for insurance providers:  BCBSM has sent me a kit as well as contact information for emergencies.    Research your insurance carriers to see if they offer similar contact information.

3.   Law enforcement agencies would be open; they're probably overwhelmed on a holiday, but you could consider calling them Monday and ask what emergency resources are available.  Same with your local city and county offices. 

4.   On Monday, contact the local Alzheimer's Assn.

I'm unclear though whether you mean emergency interaction, such as talking with other men, or medical emergency.   Conversation vs. a medical issue is a big difference, and that would be reflected in the level of help available.

But, first, start with online research for your local Alz. Assn., Senior Center, city, county and state.    The Area Agency on Aging used to be a good source, but in my area it's refocused its direction to its "same address"  program.   You can search their website though to see if they offer anything that could be helpful to you.

Is your husband a Veteran?  If so, research the VA site; there are some good programs, including assistance for caregivers.

My mom's physician, a geriatrician, prescribed anti-anxiety meds which help.   Is our dad a vet?  Is there a facility nearby, they are typically mostly male

Unfortunately there are few "emergency facilities" other than emergency rooms. In covid-19 times any admission to Emergency means exposure. It is time to pose this question to the doctor so that perhaps you can try some mild sedation in times of need. He may have other ideas or options for you.

Have you talked to your husband's doctor about his agitation? There are meds that can help with this.