I have to assume you are talking parts on the power supply, rather than the power amp. Power amp doesn;t have large caps.
First, this is a switching power supply, and it DIRECTLY rectifies the mains for is primary DC. This is extremely dangerous to work on powered. Please use an isolation transformer and be careful.
The 2200uf caps are the filters for that mains DC supply.
The 4700uf caps are for the +/- rails for the power amp. If they blew up, check the rectifiers associated with them - dual rectifiers D6 and D9. Look on the heat sink for them, I believe. Usually load problems don't affect filter caps. Are they both on the same rail? Or one per polarity? I'd be they are parallel on one rail.
There is very little in that secondary circuit other than the rectifiers and filter caps. A couple mylar caps in parallel with them. There is a 1 ohm R15 in series with the center tap, find it and make sure it has not opened.
If you repair that damage, you can test the power supply unloaded. But you must disconnect all the loads. The high voltage rails are the yellow/red/blue heavy wires, I think ther are two of those Molex connectors side by side - one per power amp channel. But there is also a small wire connector to the power amp - 6 pins for the low voltage and control signals. Disconnect that also, otherwise the power amp can tell the PS to shut down.
There is also a 6-pin for the mixer section. It has different voltages on it from the power amp one. You can leave the power amp disconnected and operate the mixer alone if that helps.
The Power amp connector 6-pin is thus:
6. off signal.
And the three pin ones are +V, gnd, -V.
There are a couple 22 ohm cement power resistors standing up on the PS, R11, R12. Make sure they didn't crack open or burn out. They are the soft start on the mains input.
MAke the power supply work first. But I fear your power amp may be burnt as well.
You found a burnt trace on the speakon board. That points at amp failure. First, is the triac shorted? It is a crowbar across the output, and if it senses DC there, it will trigger and short the output. Numerous amp makers do this. It prevents your speakers from catching fire. It usually gives its life doing this.
Look in the power amp. Are any of the MOSFETs on the heat sink shorted? It is an odd circuit, the + side is a pair of 9640 MOSFETs, while the - side is a single 250. I don;t know why. That is usually what fails. Ther is also a surface mount power resistor that can charcoal on you. It is a 0.03 ohm (seriously) R137 or R138, depending on the channel. Check it for open or damage.