That sounds about right. We were able to cut some cost by finding out what the chimney codes were for our county. And got single stove pipe up until the roof line. Triple walled though all the important bits to the top. The single pipe puts out heat into the room, where the double and triple put less ( but with a peace of mind..for safety) also shop online or local hardware store (think tractor supply, ace etc)you might be able to find it somewhere to get it a bit cheaper. Good Luck!! ( we spent about the same amount for pipe as we did the stove….so you have an idea)