This doesn't strictly answer the question exactly as stated, so I'm not going to mark this as the answer, but I'll post what I've found as a satisfactory approach.
Basically, I adapted my style a bit more to the capabilities and omissions of the program.
I am used to the traditional use of busses to carry signals that are homogeneous except in magnitude, such as data lines, address lines, IRQs, etc. There is, however, nothing to say they have to be limited to that schema.
This is a sheet I'm working on which is one of several sheets in the power supply/distribution section of a bigger project:
I decided to create a bus called PSU for the lines related to this section which would be needed between sheets. Given clear enough names for the lines going into the bus, it's not particularly hard to understand.
One unexpected benefit arises when having to use the same line on opposite ends of the sheet. I might typically have avoided (maybe needlessly) multiple instances of a sheet connector on a single sheet for fear of confusion. With a bus, it's more visually obvious that you might have a line on it routed to several places, thus I've done that here for several lines.