From other things you've posted, I believe that you are a well-seasoned researcher in the genealogy trails. Which is among the reasons I've not taken a shot at answering your question earlier.
A little background: In years past, when I would visit LDS centers in person, I never had any negative experiences. Like you, I am not an member of that church.
Meanwhile, with my own "in person" progress and the advancement of all the collections and other data available via search engines and specific sites, I've had no need to visit any of their locations in recent years. (Not yet, anyway).
Now I don't mean to suggest exactly a Quid pro Quo arrangement, but, as I have lately done a little (very little) indexing for the FamilySearch Org, I bet they'd be willing to answer a question such as your written directly to their Research Guidance home page. My point is that nothing is lost by asking there, with or without the offer to help with indexing, or whatever. Unless, of course, you have already tried this?
Just a thought...
Good luck and good hunting....