The Harrier droops the ailerons with flaps and nozzles, it works as advertised, but there is 22,200# thrust available dry.
Something to consider is the drag produced versus the power available. I would say that with the case of a 180/182, the effects of aileron droop on the Lift/Drag curve is a good thing, allowing a slightly higher power setting for better response, parasitic drag increase helping to stay slow in a decent, while increasing aileron effectiveness and lowering the stall speed.
I would assume from experience in a 180/182 with full flaps at approach speed, the power available can maintain CLmax with a slightly better climb rate, so the parasitic drag is not a huge factor with the aileron droop.
Might be something fun to investigate for your application.

May as well go for the 35s while your at it 