Hi - my name is XXXXX XXXXX I'm a Business litigation attorney here to assist you.
You have very solid proof and they have essentially admitted to abusing your property, using it without your permission, trespassed and breached its fiduciary duty to you as custodian over the property for these past few years. Thus, you have an extremely solid case based on what you've posted here.
I don't believe in slam dunks, but I think you certainly have a viable, solid case (about as close to a slam dunk as you can get) that proves you've been wronged.
The big issue is how much is the case worth? I wish I had a crystal ball to tell you this!! However, I do believe they will claim that you're not entitled to rent because you elected not to rent your unit, leaving it vacated. Thus, it's not like they intentionally didn't rent your unit in order to have them a place to crash while at work. I think this is a weak argument, but it's the best I can see that they can make given the information here.
Your argument is that you shouldn't be taken advantage of because you want to keep your unit from being rented and that the company breached its fiduciary duty and trespassed intentionally several times into your unit. Because of the long and intentional actions, I think you'd have a claim for the use of the property at the daily rate. Also, I would recommend that you seek money for any damages, needed repairs, etc. caused by their illegal use. You also have a claim for their breach of fiduciary duty to you and trespassing.
I don't think it's unreasonable to ask for the full $132k, plus any damage repair costs plus a little for the fiduciary breach and trespassing.
I would highly recommend that you consult a local attorney about this before you open negotiations to settle, but I think $200k is a conservative demand.
If you were to sue, I think you'd have a right to seek punitive damages because of the breach of trust that this creates for the other 400+ owners that may also be victims of something like this; this, added to the intentional trespassing, you could get into some serious money (punitive are allowed at up to 9 times the actual damages).
Thus, I would suggest that you speak to a local attorney and discuss the case; once you've had time to consider your damages, make a demand and see where it goes from there.