The new Eagle cleaner should work great. Just be sure you are getting the WHEEL CLEANER and not just "brake parts cleaner" which is not meant for finished surfaces, just brake maintenance. You're really "brave" if you use any kind of spray lubricant near your disc brakes.
-Jeff

I pressure wash my wheels each season then clean them with paint thinner. It is gentle to the clear coat on the rims. Wheel washing solutions often contain lye or some other strong base that eats the clear coat off.

I then wax them with Meguire's #26 yelow wax, which is just wax, no cleaner.

I do both sides of each wheel, and end up with a LOT of soiled rags, even after a pressure wash.

If you only have one car, you are lucky, 20 wheels each season is crazy!
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3 8s & 2 7s 740,000 miles total

Eagle One makes a good wheel cleaner. There are other brands that are probably as good.

I asked the same question here and the answer I got was to spray the wheels with "Simple Green" before you wash the car. It works well with the loose stuff but I don't think it will remove the baked on dust. I used to own a Suzuki 4X4 with white rims and every spring I was clean them up with spray -on oven cleaner. It worked like a charm and didn't hurt the paint (they looked like new after 10 years). If your brave enough, you might try that on a small section.
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'98 V70, '95 850 GLE 10V