Lots of people have problems with UPS; I don't. I recently shipped a valuable Guild guitar, another guitar to Donny and back, had Don ship a g-70 and other stuff...all on-time with no damage.
I've been using UPS to ship business related materials..several thousands of dollars worth a month, since 1988, without a single problem.
Others will tell you differently, but that's my experience. All of our shipping goes to UPS.
Good luck with your claim.
Russ