Is there anyway to kill the trees from the exposed roots that are
covering my lot?

Burn it down, hand grenade, sneak over to your neighbor's property, I
can think of lots of ways. None of them likely to be legal (the law
tends to frown on "self-help" although in many US states you can prune
a tree to the property line. Perhaps the law is different where you are).

I suspect you should look into going to court. It sounds like your
damages are enough to make it worth looking harder at this option.
At least as you tell the story, the odds that you'll come to an
amicable understanding with your neighbor seem low.