I think this messy problem can serve as a template for troubleshooting in general.
Possible causes, from your own replies and my experience.
GFI,
cable,
load,
connections,
redundant grounds,
an intermittent or permanent short to somewhere else,
faulty testing giving misleading answers,
conditions that change with time,
"externals"-
externals are moisture,
external power quality,
external temperature change,
external other machines,
external and the bogeyman or cleaning lady or persons unknown.
-Whatever is the cause of this problem, it must be contained within these categories, and one or more of these categories are to blame, unless some category has been left out.
Some components may have internal faults from age or abuse, others have faults induced by externals.
Some components individually work but don't play well with others, maybe because of a tolerance buildup or unforeseen interactions.
Loads are active (containing electronics) or not, and store energy or not. Loads that are active and/or with energy storage can interact with other components in strange ways.
-A cable has no electronics and minimal energy storage in its capacitance, so it is passive. May have leakage or not, due to age or abuse.
-A GFI has electronics and no energy storage. It's not really a load but its purpose is to interact with loads. I'd say active.
-The Hydro thing is hard to classify. I hope it's passive, but it wouldn't hurt to ask the manufacturer or look inside.
-Combining all these gives many permutations, some of which can be immediately eliminated as unlikely or have already been tried. More than two bad components at the same time is unlikely and unlucky.
-If we list all the possibilities and eliminate the unlikely ones, I hope we're left with something. Otherwise the likelihood judgement needs fixing.
So, here are your clues; my take is preceded by X.
a-they said nothing is wrong with the unit X-they may only check for what is important to them.
b-new breaker and GFI outlet. didn't work X-so GFI by itself works. May still interact with other components because they are bad or a tolerance buildup.
c-swap one of the other office units with this one. The new hydroculator tripped the outlet again. X-Confirms a. and points to other than the unit.
d-no splashing X- one external eliminated.
e-There are multiple other GFI's in this Dr office but none of them have a problem. X- unit is unlikely cause because of c.
f-redundent grounding? X-How to check this? Milliohmmeter? But first model the circuit to see if a redundant ground can possibly trip a GFI that senses differentials. I don't see how.
g-There is a possibility that the unit itself has some leakage current. X-Check it yourself but it is unlikely from c.
h-maybe the heat from usuage adds to the issue. X-Unlikely from c.
i- Yes we had considered a leak within the unit and I asked the Dr to have the service Co. check it. The tech most likely did not have that ability. I also don't have the equipment that could check for this. X-Check it yourself but it is unlikely from c.
j-usually find it tripped in the morning when they return to work. So is the heat generated overnight a contributing factor? Probably but why doesn't this happen in the other offices with the same machines? X-External.
k-aha. they find it tripped in the morning. does the cleaning lady come in every night and plug her vacuum into this outlet ? X-External.
m-No they are not using the outlet for anything else, even the cleaning crew. This outlet is actually in a closet where the washer and dryer are located. X-Implies not an external.
n-The circuit is brand new. New seimens bolt on breaker, new 12/2 MC run, no splices, new GFI. checked out with my tester when done all ok. Called the office back 2-3 three weeks later to see how it was going and that weekend it tripped. X-This leaves almost no possibilities, which means something has been left out of the list at the top or that you are assuming something that is not true. You might also be too close to the problem and should run it by a disinterested party who sees it in person. I live outside of DC!
q-This is the same GFI I installed in a different office and it has not happened there with the hydroculator. X- So, not the GFI. See n.
I hope this helps. Maybe there really is a bogeyman.