That's actually not what you think, unless what you think is not what I think. If your drone flies away, that is not a total, unrecoverable loss. If you crash it and it cannot be fixed, that is not a total, unrecoverable loss either. If you have the standard homeowners insurance from Allstate, then it will basically cover your drone for theft when you're away from home.
Generally, Allstate homeowners insurance (and all fire insurance in the USA) only protects you from a specific set of perils named in your policy. Generally, it only covers theft for electronics when outside the home. I did some Googling for you (so that you don't just take my word), and found this link:
What Perils Are Typically Covered By a Homeowners Insurance Policy?
So even if you really trust your insurance agent, I'd still get some thing in writing, or at least ask them to point it out in the policy.
What you can do is to add it as a Scheduled Personal Property. This is in effect doing the same thing as getting a Personal Articles Policy that everyone is talking about with State Farm. This will cover all perils as long as you operate it like it was designed to be operated, i.e. you don't break it on purpose as that would be fraud.