Ever create an In-Place Component? That's what I used.
The In-Place Component is a series of joined extrusions that were based on the ugly geometry that Revit produced when I created Monolithic Stairs from your Model Line layout. I sketched the outlines for the extrusions on Work Planes that were found by picking a plane on the existing Monolithic Stairs (Work Plane=>Set=>Pick a Plane). Three separate extrusions was all it took. I modified the Structural Depth slightly from the Mono design, joined them altogether to remove the visible edge between them, and clicked "Finish". Voila! Just a few minutes of easy breezy work to create something that actually looks like it could be precast and delivered to the job site.
p.s. you could do it as a Family too. Also, you can add parameters to make it flex. Ain't Revit grand! 