(By secondary costs I mean things like the myriad bugs caused by null-terminated strings, the severe performance penalties involved in copying and manipulating them, the unfortunate implications they have for file formats and network protocols, etc.)
I'd also treat a character + combining characters as a single character.
The problem with this is that Unicode doesn't restrict the number of combining marks. If your hypothetical library wants to offer full Unicode support, your "nodes of same length" idea wouldn't work.
Of course an implementation which makes an arbitrary restriction wouldn't be unusual. In fact, I'm not aware of any application that supports an arbitrary number of combining marks even if the standard allows it.
When it comes to standard conformance UAX15-D3 [1] is probably the closest we could get. It'd require 128 byte per character.
[1] http://unicode.org/reports/tr15/#Stream_Safe_Text_Format
So you end up with one node in the rope that has one logical character - that is some absurd number of bytes long. (In reality there'd be a maximum of 2^8-1 or 2^16-1 or something bytes per character)
If I got to chose in this day and age I would define a c string/array as a pointer to a long int and after the long int we have or data.