I turned the key on (engine off) and jumpered the pressure switch (the black spaded connections). I left the wires connected and just pulled them back enough to get a paperclip to touch both leads. I did not hear the aux fan relay click.>>

Hold up..I think I found your mistake re-reading this last post.....The wires at the blk spade terminals is the wrong pressure sw ..that is the sw for compressor, not fan..the sw ypu call temp sw is actually the high pressure sw for the aux fan..it is the red one with the pigtails attached to it..that is fans , not the blk one.
Go redo it..the one I want you to jumper for fan is the one I just had you put the wires back on..it is referred to as a temp sw in the parts book, but it is actually a high pressure sw and it is the fan one..don't go fooling with the other spade connector sw , please.