Contact BR ASAP. They will have more leverage with UPS. This has happened to me with Nordstrom a couple of times. Nordstrom rushed duplicates out to me. One time, the delivery person (USPS?) said the package was delivered at X time at Y place and it totally wasn't; it was delivered the following day. By that time, a dupe was already being rushed to me, and Nordstrom requires that you UPS/USPS the first set; you can't return it to a store.
Years ago, a holiday temp UPS worker lied about delivering my package. It was raining and dark when the person wrote that he/she/they delivered it. Packages in my neighborhood have not been subject to theft unlike a lot of other places. That evening, I happened to have run out to the supermarket and returned home shortly after the time the package was supposedly delivered. I have 44 steps to my front door, not something that workers (other than my special UPS guy Rand!) are willing to do toward the end of their shift. The company was out of stock of my item so I was only able to get a refund rather than a replacement.
You should NOT have to pay for your items. I'm sure BR and UPS have insurance for this type of situation. Only scenario I can imagine where you would have to pay is if you have made numerous similar claims so they think you are scamming them.
Hope you stuff is still in stock!