Try this, Adam. It's not perfect, but you might be able to improve it a bit by playing with stem lengths and muted note positions.
Using 2 layered staffs, in the top staff, modify your example like this:
!NoteWorthyComposerClip(2.0,Single)
|Note|Dur:16th|Pos:-12|Opts:Stem=Up,StemLength=9,Beam=First
|Note|Dur:16th|Pos:-11|Opts:Stem=Up,StemLength=6,Beam
|Note|Dur:16th|Pos:-10|Opts:Stem=Up,StemLength=6,Beam
|Note|Dur:16th|Pos:-9|Opts:Stem=Up,StemLength=6,Beam
|Note|Dur:16th|Pos:-5|Opts:Stem=Up,StemLength=6,Beam=End
|Note|Dur:16th|Pos:3|Opts:Stem=Up,ArticulationsOnStem|Visibility:Never
|Note|Dur:16th|Pos:6|Opts:Stem=Up,ArticulationsOnStem|Visibility:Never
|Note|Dur:16th|Pos:8|Opts:Stem=Up,ArticulationsOnStem|Visibility:Never
|Bar
|Note|Dur:8th,Dotted,Staccato|Pos:9
|Note|Dur:16th|Pos:6
|Note|Dur:8th|Pos:8
|Note|Dur:8th|Pos:7
|Note|Dur:8th|Pos:8
!NoteWorthyComposerClip-End
In the bottom staff, do this:
!NoteWorthyComposerClip(2.0,Single)
|Rest|Dur:16th|Opts:Stem=Down|Visibility:Never
|Note|Dur:16th|Pos:2|Opts:Stem=Down,StemLength=7,Beam=First,Muted|Visibility:Never
|Note|Dur:16th|Pos:3|Opts:Stem=Down,Beam,Muted|Visibility:Never
|Note|Dur:16th|Pos:4|Opts:Stem=Down,Beam,Muted|Visibility:Never
|Note|Dur:16th|Pos:1z|Opts:Stem=Down,StemLength=4,Beam,Muted|Visibility:Always
|Note|Dur:16th|Pos:3|Opts:Stem=Down,StemLength=5,Beam,ArticulationsOnStem|Visibility:Always
|Note|Dur:16th|Pos:6|Opts:Stem=Down,Beam,ArticulationsOnStem|Visibility:Always
|Note|Dur:16th|Pos:8|Opts:Stem=Down,StemLength=7,Beam=End,ArticulationsOnStem|Visibility:Always
|Bar
|Note|Dur:8th,Dotted,Staccato|Pos:9|Opts:Muted|Visibility:Never
|Note|Dur:16th|Pos:6|Opts:Muted|Visibility:Never
|Note|Dur:8th|Pos:8|Opts:Muted|Visibility:Never
|Note|Dur:8th|Pos:7|Opts:Muted|Visibility:Never
|Note|Dur:8th|Pos:8|Opts:Muted|Visibility:Never
!NoteWorthyComposerClip-End