I went though the same thing as you MilDot, a couple of years ago. Even after acquiring a safe, I decided that I had too much in the safe not to insure it against loss. Now, my collection is relatively modest- a couple of semi's, revolvers, shotguns, and rifles (nothing collectible, these are all hunting/shooting tools) It doesn't take much to easily exceed the standard homeowners policy-especially if you hunt.
I didn't particularly like furnishing all of my firearm data but decided that ultimately, it protected me from loss. When I review my homeowners, auto, etc. with my fiance this Spring, I will check out the NRA insurance. I recall reading that it was not obtrusive. I don't consider myself paranoid but I don't like being on any potential type of serialization list that could be utilzed at a later time for a round-up. Sadly, history does repeat itself.