There are a LOT of folks of the opinion that the freezer method, while easy on the owner, is harsh & cruel to the animal. It may be quiet, but it is suffering unnecessarily.
I use sharp kitchen scissors to quickly snip off the head and INSTANTLY send the chick to The Other Side of the Road. Certainly it's unsettling to hold the fuzzy lil' chick and see the deed be done. That's why I wrap the chick in a paper towel so it doesn't wriggle, and hold the chick inside a paper bag/cardboard box or the burial hole ready-dug. As soon as I snip through I let both the head & the body drop inside. The chick may have residual reflexive movement but you have to know it is beyond pain.
You can still have the burial, just not open-casket. Another method that is quick, humane & approved is cervical dislocation, where you hold the chick's feet & with fingertips behind the head pull quickly outward. It keeps the body intact, but I dislike the feel of that, so prefer the snip method.
I'm sorry for the misfortune, but it's inevitable when raising baby chicks.