Hi Michael,
I think you have a beautiful build on your hands...

...Great Job!!
Why sunflower oil (which is not a 'drying oil' instead of another of the natural drying oils...i.e.
flax, walnut, tung, etc?)
Have you considered one of the Lime plaster finishes like Tadelakt which does use non drying oils like olive?
How think do you believe the final coat layer(s) will be on completion?
Is this your first build and can you share some of you interest in this form of masonry heater for others that may have interest in giving it a try?
Regards, and compliments again for a fine job,
j