edit 3: http://www.youtube.com/watch?v=NbIWC0Bk75A should be Crazy Jim's theme music.
Funny you mention this music. I had it playing for the 2nd Deadliest Warrior tournament (the first one I hosted).
As for the 3 Goblin Warlords, we'll see. First we need to see if he can beat the remaining 4 avengers.

Edit: Speaking of the 2nd DW tournament, here are Crazy Jim's matches (though it turns out none of them used the music Hiardo linked):
Crazy Jim vs Argnak: http://www.youtube.com/watch?v=1gAcLyksLEE
Crazy Jim vs khamul: http://www.youtube.com/watch?v=o1AI4Yb4UEw
Crazy Jim vs Kari: http://www.youtube.com/watch?v=LbttvChWyEw
Crazy Jimvs Arya: http://www.youtube.com/watch?v=BDctOZ6fx4k
I like it how in the finale the first thing Jim says is "You'll never take
me down." So true.

Edit2: While I'm at it, here are also the links to Jim's fights in the Sons of Skyrim tournament.
Round 1 vs Rythe Arano: http://www.youtube.com/watch?v=3RN6bniF2Qc
Round 2 vs Duluk the Conqueror: http://www.youtube.com/watch?v=E-xFp9M7GCY
Round 3 vs Gregnak gro-Nagrog: http://www.youtube.com/watch?v=Qb1H3QEzoCQ
Round 4 vs Kjelhe Bolthammer: http://www.youtube.com/watch?v=64ssWSH4WHw