Brian,
SCS is just south of highway 50 on your way back from Hutch. Hard to miss and you will see it just as you go over the RR yards on 50. I think you will like the course (despite suffering to PD in comparison!) and could even do a double header, depending on how early your PD tee time is.
If your schedule is different, you can also consider Colbert Hills a few miles north of I 70 on your way back to KC, at Manhattan, or Firekeeper, a few miles north of I 70 on 75, just west of Topeka.
They are ranked 1, 2, 3 for KS public courses by Golf Week, I think.