The FG504 takes the triangle wave and shapes it to approximate a sine wave through a number of carefully selected resistor values and matched diodes. So, if the triangle wave is fine as you've stated, I would start your investigation with the shaper. See the service manual "Sine Shaper & Buffer", schematic #3. Expected waveforms for about 8 test points are documented.
As sdg points out, TM500 extenders are the way to go, but in a pinch I've done servicing on my FG504 by taking all four covers off, and sliding it into a TM503 with the top and bottom covers off that too. It's not as convenient as extenders, but you can access all the test points and internal cal adjustments.
And, yeah, check all the power supply rails first.