Thank you all for the tips! I contacted UPS, and they have started a claim. Next stop is my CC/PayPal.
Don't jump the gun and open too many claims though, as far as I know you can only have one claim open at a time, so while you can contact them, you should really keep in mind to not open another one too soon, but also to not let the PP window (I think 180 days) slip if LV are dragging their feet, and by informing your CC you can voice your concerns and get info on the time frame you have without opening a claim just yet