One reason for using 2 x 200V caps in series was to be able to use the input rectifier in voltage doubling mode for 120V input, giving a 340Vdc bus. Those PSUs would typically have a 120/240 voltage selector switch on the side.
Modern PSUs tend to have a power factor corrector (PFC) which boosts the input voltage up to around 380-400Vdc regardless of the mains voltage. That's not a problem for electrolytics in itself.
Generally, when a bus cap goes, there will be several other key components taken out with it, like the inrush current limiter and the diode bridge – and the internal fuse. Your second hand PSU is definitely the way to go. Even a new one would cost very little and they seem to be very backwards compatible.
With time, the electrolytics dry out and this is often the cause for the PSU failing. As they dry out, their resistance goes up so they get hotter still and the ripple voltage increases. The cans are designed to vent in the case of an internal short.
If you replace the failed caps, you may find it fails again fairly soon due to the other caps having dried out. They were probably all designed(?) with a similar lifetime. Yes, I've been designing switched mode PSUs for some years now….
Murray