There is no difference at all electrically, at the frequencies involved in systems like this, between solid and stranded. Absolutely none. This includes noise and propagation of any digital information.
Differences in noise are mostly due to conductor resistance (conductor cross section) and how conductors are laid against each other (twisted, parallel, or separated).
After measuring the current draw of my locomotives, I decided a #16 buss was overkill if I ever ran DCC or for multiple lights in buildings, and that normal CAT-3 and CAT-5 cables were more than good enough for signaling, turnouts, and detectors.
I chose a #16 four conductor buss, CAT-5 cables (four pairs) for power to a yard (10-15 feet away) where I sectionalized tracks to run my non-DCC equipment, and CAT3 cables (three pair like telco house wiring) for powering turnouts.
I have ribbon cable (16 conductors but very small) following the large buss under the main lines for signaling because it is easy to tap into.
For this application, the only difference between solid and stranded is physical. Solid forms better but breaks easier when flexed, while stranded bends easier and resists breaking. Solid is easier to keep under screws and terminals without tinning, but stranded works just as well if the strands are tinned into one conductor when fastened under screws.
Tom