Most of us that AI have had this happen. A couple years ago I was at a semen distribution company picking up more semen. When I mentioned the dropped straws from one of the canisters, they pulled the entire canister out quickly and laid it in liquid nitrogen in one of their large tanks. Once they pulled out all of the canes from the canister, they found my straws at the bottom of the canister, including a straw I didn't even remember dropping from probably 7 years ago.
So, if you are close to a semen company or bull stud that collects and freezes semen, I would encourage you to take it there. They can retrieve the lost straws and canes and still keep the semen viable.