PS.
I have read of people making a plaster imprint of their chicken's feet after it died and decorating it with a few of their feathers and making it into a plaque to hang on the wall. If I remember correctly, Sid was white, so if you decided to do this, you could perhaps put some food colouring in the plaster to dye it, so that his white feathers stand out against it. Perhaps this does not appeal to you but I do know that having a memento of a loved one is comforting and having something to do when you are grieving is also helpful.... like planning a funeral for people. Perhaps getting all the things together that you will need to make such a plaque and having a trial run or two with different size and shape moulds....an empty plastic ice cream container might work well and getting the plaster consistency just right.....these will all take a little effort and focus, that might help you.
Best wishes
Barbara