The 175 shares the same TCDS as the 172RG (retract) and the R172K (Hawk XP). That should give you some idea of the similarity. Sounds like the STC might mean it shares the same engine/prop with the 172RG as well.
When cramming the knobs, blue before black. When pulling the knobs, black before blue. Try to make power transitions part of a flow (i.e. "cruise/descent=move my hand this way; climb/go-around=move my hand that way"). Hopefully they put the blue knob to the right of the throttle when they applied the STC because that's the more standard location in Cessnas and it'd make your 182 transition a little easier.
It also helps to think of the prop governor as analogous to the transmission in a car if you drive stick shift. The engine is happier at low RPM in cruise and will complain if you lug it when accelerating or going uphill. The prop knob in will also help with descent just like low gear in a car going downhill.