Well Folks…. At the risk of jinxing myself, the problem appears to finally be solved. To recap, I’ve previously tested everything for leaks and replaced the electrical components. The problem persisted. I again replaced the test pump and that didn’t change anything. I again replaced the purge solenoid and it’s now gone two full weeks without throwing the large leak code. So I’m guessing that the original and the first replacement solenoids were bad. I absolutely HATE the parts-cannon approach but I was at my wits end with this issue. I was previously asked if the solenoid was clicking. I never felt it doing anything. But to be fair I haven’t felt my new one clicking either.
So, again I thank all of you who took the time to respond.