What's wrong with the good old fashioned towbar? Anything in the 182 POH that forbids operating on grass? Or is it your personal strength that's not sufficient?
Remember that an electric dragger or anything will probably use the exact same lugs that the manual towbar uses, only with an electric dragger you have less "feel" for what the aircraft is doing, so it is easier to cause damage if, say, one of the mainwheels or the tail gets caught somewhere.
There is a limit to the angle each nose wheel can be turned. I don't know about the Cessna, but with a Piper you can see the stops (consisting of adjustable M8 bolts, I think) just inside the cowling.