I'm concerned about large/tall tree that is just outside my property line could fall and damage my home. That same tree lost several large limbs during the Fall ice-storm that fell on my property, but luckily didn't hit any structures, that I cleaned up myself. The tree lies on a vacant wooded tract of land owned by a trust, not a neighbor I can speak too.
I think that photo evidence of several lost limbs could be enough to show that the tree is dangerous, so it may be worth while to send a letter to the trust asking for them to remove the tree. However, thinking about it from their perspective, it seems that the worst case for them if the tree falls on my home is that I could sue them for my insurance deductable, which is probably less than it would cost to remove the tree. My guess is that I will just be ignored. Is there a logical reason from their perspective why they should want to remove the tree upon receiving my letter?
If I do send a letter/notification what specific points should I make sure to list?

Liability for damage by tree
In Massachusetts a person who negligently fails to deal with a dangerous tree can be liable for damages caused by the tree. If you give the trust notice of the condition and they fail to correct the problem, they may be on the hook for any resulting damages. Your insurer may pay any damages to you, pursuant to your policy, but that does not mean they will not seek to recover the cost from the negligent party, the trust.