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Looks like one of your goals is to prevent ringing on B+ when power is applied? A resistor or current source load to model the rest of the amp probably (obviously?) isn't going to show what's happening on B+ since the rest of the amp has a "wake up" phase (tubes warming up, etc.) Is it possible to load your PSU model with a piecewise current source that has a ramp up period? I guess the difficulty with that is modeling the ramp up behavior. I suppose you could scope your amp's B+ to get some approximation.
This can be pretty hard to model accurately. Some time ago I built a pair of all directly heated 300B amps, and they passed signal within a second or two of being on, but this amount of time depended significantly on the specific 300Bs I used.