SBC could provide more values for ODE systems, compared to models with explicit densities. Although literature which applied SBC on ODE models is scarce, the following may be a good place to start.
poster introducing Michaelis Menten population model (i.e. hierarchical)
part2 of the tutorial on ODE models part 1 which suggests applying SBC to ODE model as part 2 preview
stan discourse on hierarchical ODE model, also known as monster model