Ah, yes that makes sense. I'm feeling a little lazy now, so I'll skip that IC test and just hope for the best with the cap replacements.
I ordered the caps and now we wait. 
For anyone else that needs to assemble a cap kit for one of these monitors, here's a complete list I compiled:
CHASSIS BOARD
C504   400v, 330uf   
C510   50v, 4.7uf   
C545   35v, 68uf   *
C582   50v, 10uf   
C951   50v, 1uf   
C953   50v, 1uf   
C948   50v, 1uf   
C935   50v, 1uf   
C952   50v, 1uf   
C901    50v, 4.7uf   
C907   50v, 10uf   
C922   16v, 22uf   
C585   16v, 100uf   
C523   25v, 100uf   
C505   16v, 100uf   
C949   50v, 1uf   
C910   50v, 10uf   
C922   16v, 22uf   
C519   25v, 470uf   
C527   16v, 100uf   
C507   16v, 100uf   
C525   16v, 1000uf   *
C501   25v, 470uf   
C530   25v, 1000uf   *
C520   160v, 22uf   *
C521   100v, 330uf   *
C305   25v, 470uf   
C325   25v, 100uf   
C323   25v, 1000uf   
C744   100v, 47uf   *
C745   16v, 22uf   
C722A   200v, 22uf   
C722   200v, 22uf   
C623   16v, 22uf   
C601   16v, 100uf   
C607   16v, 47uf   
C612   50v, 4.7uf   
C613   50v, 4.7uf   
C615   16v, 47uf   
C715   50v, 4.7uf   
C773   50v, 4.7uf   
C774   50v, 4.7uf   
C772   50v, 4.7uf   *
C704   50v, 10uf   
C703   35v, 100uf   
NECK BOARD
C276   200v, 22uf   *
C263   250v, 1uf, NP   *can be 400v 1 uf
C203   250v, 1uf, NP   * 
C233   250v, 1uf, NP   
C274   16v, 47uf   
C272   16v, 47uf   
C270   16v, 47uf   
C290   16v, 47uf   
C292   16v, 47uf   *
C280   16v, 47uf   
C279   16v, 47uf   *
C244   25v, 22uf   
C288   25v, 22uf   
C296   16v, 220uf   *
INPUT SIGNAL BOARD
C105   16v, 100uf
* = caps that cannot be physically larger due to space limitations
TOTAL OF EACH SIZE
(1) 400v, 330uf
   
(3) 250v, 1uf, NP
   
(3) 200v, 22uf
   
(1) 100v, 47uf
(1) 100v, 330uf
   
(1) 160v, 22uf
   
(4) 50v, 10uf
[8] 50v, 4.7uf
(6) 50v, 1uf
   
(1) 35v, 68uf
(1) 35v, 100uf
(2) 25v, 1000uf
(3) 25v, 470uf
(2) 25v, 100uf
(2) 25v, 22uf
   
(1) 16v, 1000uf
(1) 16v, 220uf
(6) 16v, 100uf
(4) 16v, 22uf
(9) 16v, 47uf
TOTAL = 60