Just an FYI. Be certain to research the chimney as it relates to the firebrick. This included space variances, angles, etc. I built an outdoor stucco fireplace and tried to follow a similar size fireplace/chimney system as far as measurements of the chimney/flu system was concerned. The finished product looked incredible, however I still did get some smoke coming out the front. Probably about 10% worth.
I have now purchased a new home and am just beginning to build the entire fireplace. BBQ, etc. again, and am planning on spending $200 for the steel flu system, or ensure I pay more attention/ research the vacuum scenario.
As a side note per your original question, though the name escapes me, I just purchased a book from Barnes and Noble labeled something similar to “Fireplace and BBQ Construction”. It was a female author and I thought the book might answer some questions on the vacuum and how to design the chimney system. It didn’t, however it really touched on quite a few different designs including plans, materials needed, etc. She gives general tips, really nothing of extreme detail, however gets into the nuts and bolts of the construction process, which I believe is what you are really looking for. Let me know if you want the name and I will get it.
Regardless of the exterior texture, in your case stone, you will still need to build this from standard masonry and follow the same general rules, later putting your stone on the surface. Don’t be intimidated by it. Really, the only thing difficult about it is coming up with a unyielding design, and lifting all those bags of mortar and cement. As you said, you have done it before, just on a smaller scale.
There is one major difference, and I apologize for not recalling the term, however there is a thin metal that you will need to set into the mortar between the bricks and let protrude out to all surfaces where you will be attaching the rock. This is so you can wire rocks in place when you are setting them and allowing the mortar to dry…
Best of luck! I too am beginning a huge project. This time, I am purchasing a concrete mixer and will sell it when I am done… Older and wiser now…