Avoid the steel wool and use Scotch Brite. Use water to wash off the lifted paint. Makes a mess. Don't apply more stripper until the aluminum is.
General Chemical's Paint strippers are used for the removal of E-Coat,Powder Coat from non ferrous, Aluminum without adversely affecting the surfaces.
Blasting with plastic media may be the quickest and least expensive way. Aircraft stripper may be the second choice.