All the room dimensions calculators I run across seem to use the ceiling height as basis for the ratio calculations, and assume a flat ceiling
Right. Because all the simple calculators that are publicly available are designed for rectangular rooms, with three sets of mutually parallel and perpendicular surfaces. Because it is dead easy to predict modal response for those conditions. However, as soon as you angle one of those surfaces significantly, or add an extra surface, those simple calculations are no longer valid: they won't give you the right answer any more, because the math that they are based on is only valid for rectangular rooms. If your room is not rectangular, then you have to resort to way more complex calculations, if you want a full prediction of how the room will behave, using FEM/FEA or BEM, or something similar type of advanced mathematical methods. It's no longer a simple solution: the modeling and solution gets to be very much more complex. Not something the average home studio builder can do on their own.
That said, Jason is dead right: If the remaining four walls are still parallel and perpendicular to each other, then you can still use a simple calculators and the axial modes predicted FOR THOSE WALLS ONLY will still be correct, as will the tangential modes that are associated ONLY with those walls. All other axial, tangential, and oblique modes will be incorrect. As long as you are OK with having incorrect vertical axial, tangential, and oblique predictions, then that's fine. The remaining predictions will be good.
Not the case here, as I do not intend to put a ceiling below the roof.
So you do not intend having good isolation then?

Without a proper 2-leaf roof-ceiling combination, you get lousy isolation. Most studios need extensive isolation, but by only having a single-leaf roof, your studio will not have much isolation at all. Are you OK with that?
Its probably 16 - 17 feet high or so, at the peak, and the building's side walls can apparently be from 8-10 feet high, or so. I'm looking to make the building fairly large, i.e. 20'-30' wide x 30'-40' long, or so. Depending on what I figure out, it could be wider or longer or shorter or skinnier.
You did not say what the purpose of this room is. At 600 to 1200 square feet and 17 feet high, obviously it is NOT a control room, so why would you even need to predict the modal response accurately?
Is there any good method of calculating advantageous room dimensions where the "ceiling" is not flat,
"advantageous " in what way? For what purpose? You aren't giving us much information to go on! If this is a rehearsal space, for example, then there's no need at all to bother with predicting modal behavior: just stay away from identical direct mathematical relationships between dimensions, or within 5%, and there's no problem. But if it is a control room, first it is too big to be a good control room, and secondly you really would need to do a better job of prediting modal behavior.
On the other, other, other hand, at 1200 ft2 and something like 15,000 cubic feet, the room is going to be fairly large; getting close to having a Schroeder frequency near the bottom end of the audible spectrum (somewhere around 50 to 60 Hz, for those dimensions), so there isn't really much need to be worried about modal issues in any case. It's getting close to being subject to large room acoustics, not so much small room acoustics, so you should be more worried about the issues that affect large rooms...
If you can't give us good information on the room, then we can't help you much more than that. There's not enough here to go on.
Anybody else?
What was it about Jason's reply that you did not like? That was rather rude. He did give you good advice.... Are you going to post the same response to my reply? You seem to have a history of getting upset with people who are trying to help you, giving you good advice.
- Stuart -