So, bumping this back up as I finally talked to my insurance guy about this.
Like others mentioned, a home security system is nice (and I already have one of those), but if your house really does get robbed or burns down having insurance is a good thing too. Here's what I came up with finally (I own my home and have Farmers as an insurer, it may not apply to everyone).
Originally I talked about adding a floater to my home insurance policy. Normally that covers specific items after they have been appraised for a set amount. However, it looks like you can only get floater policies for certain things in a specific category like jewelry, art, guns, etc. Video games were not one of them.
After talking with the insurance underwriter, they said that my games would be covered under my home owners (property) insurance as long as I had documentation of everything. So, after snapping some basic photos and providing lists to my agent everything seems like I would be okay monetarily in case something happened. He said the more documentation you can provide the better regarding condition and quantity, so I may try and work up something a bit more in depth when I have time.
Also, an aside, but my agent had never even heard of video game collecting a thing and was quite surprised to hear about the prices of some things. I told him some stories about the great times where games were cheap and plentiful, and now everything costs way too much and is overpriced. He actually collects Jordan sneakers I guess, you learn something new everyday.
Hope this helps anyone who was still interested.