My version of it all:
A capacitor sitting in a power supply - as in your situation - can be looked at from two "directions": one looking toward the amplifier itself and the other looking toward diode bridge and
Toward the amplifier: There is only one rule: The max. voltage for the capacitor must be higher than the voltage needed for the amplifier. The amplifier does not care about the amount of farads in any way.
Toward the diode bridge and transformer: This is more tricky because of the amount of current there will rush in when turned on. Once it's turned on everything will "quiet down" and there will only run a small amount of current.
Therefore the size of the bridge and the transformer is more important than the electronics of your amplifier.
So I conclude, that you have no reason to be scared of anything, as long you don't overdo it. Going from 5000 to 7000 is not that much of an issue. And I believe that you will get better sound out of it. Simply there will be more current available when needed.
And go for the capacitors with low ESR.
That said, going up 50-60% in capacitance won't hurt anything and, as John said, can only be a benefit.
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