"Had to speak with my S/F agent today anyway, so I asked the question. After her calling a S/F adjuster, who had to talk with his supervisor, the word is... no, timed or not. The dealbreaker here is public roads (or lack thereof)."
Be VERY careful about even ASKING your insurance agent about track coverage. A few months ago I posted a new thread about this. I was a USAA member for 25 years. Never had a ticket. Never had a crash. Never submitted a claim. JUST for asking about HPDE events, they DROPPED ME! I'm not kidding. I went to great lengths explaining how this was NOT timed... had an instructor, etc... They didn't care. I could understand if they wouldn't cover track damage. But, they dropped me altogether! Those bastards at USAA can kiss my ass. I couldn't believe they treated me that way, FOR ASKING, after 25 years of being an excellent client.
To stay on topic.... I calculated my track day fuel mileage at 5 miles / gallon!