There are loads in books that explain the subject Roger and I have read some articles on the web too but not sure where to find them at the moment as it's been a while since I last studied the subject (work is swallowing my spare time at the moment too). The key part is finding an article that covers a similar situation to yours because there are a few slight differences to use when you set out using the Tangent System when encountering slightly different inclines.
When you think about it the specialist company that quoted you were really only going to do the easy bit with a wreath (The Volute) and use standard sections around the quarter turn. I think you should be able to out do them don't you!
You should find the volute easy in comparison, just follow
the linked article in This IS Carpentry and you can't go to far wrong

...............
.............. Only kidding it's really a lot easier than what you are trying to do at the moment.
Maybe try this Figure 95 and 98 :
https://www.gutenberg.org/files/61150/6 ... 1150-h.htm have the book and find it can be very helpful in understanding why you use slightly different methods for different Tangent layouts.
I doubt this will help you with the quarter turn but it's a very interesting article to follow and is relatively short. Might give you some ideas about your own project.
http://www.customhandrails.com/the-proc ... ree-wreath