if the wire is all connected together and is sticking out so that it is exposed to the atmosphere, you might be able to just melt it out and let it oxidixe without blowing anything apart.
Put a good layer of kiln wash on your shelves and bring it slowly up to around 1300F. This is above the melting point but below the boiling point. So all that should be happening is oxidation to the oxide , which is inert.
hold it ther for a couple of hours. Thin sheets or wires of aluminum oxidize quickly. That should melt/oxidize out the aluminum and give the clay enough strength to re- fire it after the aluminum has oxidized out.
It's worth a try.... any other way you will probably lose the sculpter.