And fully insure it for 125% of actual value.
I haven't had a claim with UPS but I have had an experience with USPS, not good. I shipped a new Interstate tank several years ago and it got lost in shipment. I went to file a claim and they wouldn't do anything for I think it was 90 days "to give it time to show up".
After the waiting period, even though I had insured it for above cost, they started asking for documentation to prove it was worth the insured cost. While this was going on (several weeks) the box showed up in the Atlanta lost mail storage warehouse and was returned to me. It turns out that part of the shipping label had been scraped off. They obviously never looked for it until the claim became "active", a big box you know.
I don't know, but I suspect that other carriers might be the same way. If that's the case, paying for more insurance than you can document is a waste.

Needless to say, since that time, I always cove3r the shipping label with clear packing tape for protection.