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Campylorhynchus brunneicapillus
Heard this one singing to his reflection in the window of our office building
I'll check those suggestions out. A likely candidate is a [youngish?] cactus wren (Campylorhynchus brunneicapillus)
It's not a Brown Trasher. They don't have the pale/white supercilium. Brown Thrashers also aren't found in AZ. Sage Thrush have a similar supercilium but the bill is wrong.
I'm pretty confident it is a thrasher, and possibly a Brown Thrasher. You can check here: http://www.allaboutbirds.org/guide/Brown... to hear its song, maybe that will help. Good Luck!