This thread had me review the agreements for two flight schools/FBOs near me. Two have similar language in their rental agreements as the OP.
"Renters / Students are financially and legally responsible for all damage caused to the aircraft and to property that occurs when the aircraft is directly and indirectly in control and in use by the renter / student. This includes any and all damage caused that is not considered “wear and tear” items. "
"DAMAGE TO AIRCRAFT: At the termination of the rental period, Renter shall return the Aircraft to Operator in the same condition as when received, excepting reasonable wear and tear. Renter shall be liable to Operator for all damage sustained by the Aircraft during the rental period. Ordinary wear and tear excludes flat-spotting tires, and batteries drained due to leaving on the master switch."
I have both liability and non-owned aircraft physical damage coverage on my non owner's policy, similar to the OP, but my coverage is through Starr, not AIG. So, if I hit a deer (let's assume my landing light works to simplify the scenario) and I cause the same 36K in damage, the "system working" would go like this:
1) The flight school makes a claim on their insurance. Their insurer processes it, but I still have to worry about subrogation.
2) If their insurance company subrogates against me, my policy says "sorry you aren't legally liable" and bows out. It is unclear if they have to pay for my attorney to defend, as they argue the deer strike isn't covered:
From my Starr policy:
"III. DEFENSE, INVESTIGATION AND SETTLEMENT OF CLAIMS AND SUITS
We have the right and duty to defend, investigate and settle any claim or suit against an insured covered by this
insurance. But, when the applicable limit of liability has been exhausted by payment of judgments or settlements, we
then are not obligated to pay any claim or judgment, or to provide any defense or pay any expenses.
We have no
obligation to defend, pay any expense, investigate or settle any claim or suit not covered in this policy."
So, I think, the only safe out for me is to get a waiver of subrogration from the flight school before the incident?
A twist on the scenario (making the situation look more like the OP) would be:
1) The flight school makes a claim on their insurance. Their insurance denies for some bogus excuse, so now the flight school comes after me.
2) The flight school says their rental agreement makes me liable. I call my non-owner's insurance, and they have the same response as the OP, saying I am not "legally liable" so they decline coverage.
Here, not even a waiver of subrogation helps - is there anything else I can do to prevent a scenario like the OPs? I know buy a plane and have my own policy - maybe the wife will let me after this thread.