I have not used SGP with an EQMod scope, we do have some suggestions in our help file but it's generally geared towards meridian flips:
I know with my G11 I could set what the ASCOM "Park" command meant. I could have it park at a set position, counter weight down or just have it stop tracking where it was at. Maybe EQMod has a similar setting for the park position in the ASCOM driver?
If not maybe someone more knowledgeable about EQMOD things will come around.